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Finding the Third Proportional to 60,107 and 88,459

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Solution

The third proportional to 60,107 and 88,459 is: 130,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,107 : 88,459 = 88,459 : x
  2. Step 2: Convert to fraction form
    60,107/88,459 = 88,459/x
  3. Step 3: Cross multiply
    60,107x = 88,459 × 88,459
  4. Step 4: Simplify right side
    60,107x = 7,824,994,681
  5. Step 5: Solve for x
    x = 7,824,994,681/60,107
  6. Step 6: Final answer
    x = 130,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.