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Finding the Third Proportional to 42,102 and 64,708

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Solution

The third proportional to 42,102 and 64,708 is: 99,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102 : 64,708 = 64,708 : x
  2. Step 2: Convert to fraction form
    42,102/64,708 = 64,708/x
  3. Step 3: Cross multiply
    42,102x = 64,708 × 64,708
  4. Step 4: Simplify right side
    42,102x = 4,187,125,264
  5. Step 5: Solve for x
    x = 4,187,125,264/42,102
  6. Step 6: Final answer
    x = 99,451.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.