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Finding the Third Proportional to 90,829.75 and 141,762.75

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Solution

The third proportional to 90,829.75 and 141,762.75 is: 221,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,829.75 : 141,762.75 = 141,762.75 : x
  2. Step 2: Convert to fraction form
    90,829.75/141,762.75 = 141,762.75/x
  3. Step 3: Cross multiply
    90,829.75x = 141,762.75 × 141,762.75
  4. Step 4: Simplify right side
    90,829.75x = 20,096,677,287.56
  5. Step 5: Solve for x
    x = 20,096,677,287.56/90,829.75
  6. Step 6: Final answer
    x = 221,256.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.