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Finding the Third Proportional to 97,384 and 145,687

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Solution

The third proportional to 97,384 and 145,687 is: 217,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,384 : 145,687 = 145,687 : x
  2. Step 2: Convert to fraction form
    97,384/145,687 = 145,687/x
  3. Step 3: Cross multiply
    97,384x = 145,687 × 145,687
  4. Step 4: Simplify right side
    97,384x = 21,224,701,969
  5. Step 5: Solve for x
    x = 21,224,701,969/97,384
  6. Step 6: Final answer
    x = 217,948.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.