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Finding the Third Proportional to 59,040 and 127,412

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Solution

The third proportional to 59,040 and 127,412 is: 274,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,040 : 127,412 = 127,412 : x
  2. Step 2: Convert to fraction form
    59,040/127,412 = 127,412/x
  3. Step 3: Cross multiply
    59,040x = 127,412 × 127,412
  4. Step 4: Simplify right side
    59,040x = 16,233,817,744
  5. Step 5: Solve for x
    x = 16,233,817,744/59,040
  6. Step 6: Final answer
    x = 274,963.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.