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Finding the Third Proportional to 59,092 and 127,460

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Solution

The third proportional to 59,092 and 127,460 is: 274,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,092 : 127,460 = 127,460 : x
  2. Step 2: Convert to fraction form
    59,092/127,460 = 127,460/x
  3. Step 3: Cross multiply
    59,092x = 127,460 × 127,460
  4. Step 4: Simplify right side
    59,092x = 16,246,051,600
  5. Step 5: Solve for x
    x = 16,246,051,600/59,092
  6. Step 6: Final answer
    x = 274,928.11

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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.