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Finding the Third Proportional to 60,918 and 97,209

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Solution

The third proportional to 60,918 and 97,209 is: 155,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,918 : 97,209 = 97,209 : x
  2. Step 2: Convert to fraction form
    60,918/97,209 = 97,209/x
  3. Step 3: Cross multiply
    60,918x = 97,209 × 97,209
  4. Step 4: Simplify right side
    60,918x = 9,449,589,681
  5. Step 5: Solve for x
    x = 9,449,589,681/60,918
  6. Step 6: Final answer
    x = 155,119.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.