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Finding the Third Proportional to 62,221 and 96,502

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Solution

The third proportional to 62,221 and 96,502 is: 149,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,221 : 96,502 = 96,502 : x
  2. Step 2: Convert to fraction form
    62,221/96,502 = 96,502/x
  3. Step 3: Cross multiply
    62,221x = 96,502 × 96,502
  4. Step 4: Simplify right side
    62,221x = 9,312,636,004
  5. Step 5: Solve for x
    x = 9,312,636,004/62,221
  6. Step 6: Final answer
    x = 149,670.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.