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Finding the Third Proportional to 63,418 and 97,169

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Solution

The third proportional to 63,418 and 97,169 is: 148,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,418 : 97,169 = 97,169 : x
  2. Step 2: Convert to fraction form
    63,418/97,169 = 97,169/x
  3. Step 3: Cross multiply
    63,418x = 97,169 × 97,169
  4. Step 4: Simplify right side
    63,418x = 9,441,814,561
  5. Step 5: Solve for x
    x = 9,441,814,561/63,418
  6. Step 6: Final answer
    x = 148,882.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.