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Finding the Third Proportional to 145,642 and 196,772

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Solution

The third proportional to 145,642 and 196,772 is: 265,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,642 : 196,772 = 196,772 : x
  2. Step 2: Convert to fraction form
    145,642/196,772 = 196,772/x
  3. Step 3: Cross multiply
    145,642x = 196,772 × 196,772
  4. Step 4: Simplify right side
    145,642x = 38,719,219,984
  5. Step 5: Solve for x
    x = 38,719,219,984/145,642
  6. Step 6: Final answer
    x = 265,852.02

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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.