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Finding the Third Proportional to 59,410 and 127,748

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Solution

The third proportional to 59,410 and 127,748 is: 274,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,410 : 127,748 = 127,748 : x
  2. Step 2: Convert to fraction form
    59,410/127,748 = 127,748/x
  3. Step 3: Cross multiply
    59,410x = 127,748 × 127,748
  4. Step 4: Simplify right side
    59,410x = 16,319,551,504
  5. Step 5: Solve for x
    x = 16,319,551,504/59,410
  6. Step 6: Final answer
    x = 274,693.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.