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Finding the Third Proportional to 42,060 and 65,115

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Solution

The third proportional to 42,060 and 65,115 is: 100,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,060 : 65,115 = 65,115 : x
  2. Step 2: Convert to fraction form
    42,060/65,115 = 65,115/x
  3. Step 3: Cross multiply
    42,060x = 65,115 × 65,115
  4. Step 4: Simplify right side
    42,060x = 4,239,963,225
  5. Step 5: Solve for x
    x = 4,239,963,225/42,060
  6. Step 6: Final answer
    x = 100,807.49

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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.