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Finding the Third Proportional to 97,355 and 142,203

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Solution

The third proportional to 97,355 and 142,203 is: 207,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,355 : 142,203 = 142,203 : x
  2. Step 2: Convert to fraction form
    97,355/142,203 = 142,203/x
  3. Step 3: Cross multiply
    97,355x = 142,203 × 142,203
  4. Step 4: Simplify right side
    97,355x = 20,221,693,209
  5. Step 5: Solve for x
    x = 20,221,693,209/97,355
  6. Step 6: Final answer
    x = 207,710.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.