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Finding the Third Proportional to 145,635.75 and 196,762.69

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Solution

The third proportional to 145,635.75 and 196,762.69 is: 265,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,635.75 : 196,762.69 = 196,762.69 : x
  2. Step 2: Convert to fraction form
    145,635.75/196,762.69 = 196,762.69/x
  3. Step 3: Cross multiply
    145,635.75x = 196,762.69 × 196,762.69
  4. Step 4: Simplify right side
    145,635.75x = 38,715,555,192.22
  5. Step 5: Solve for x
    x = 38,715,555,192.22/145,635.75
  6. Step 6: Final answer
    x = 265,838.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.