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Finding the Third Proportional to 58,404 and 127,746

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Solution

The third proportional to 58,404 and 127,746 is: 279,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,404 : 127,746 = 127,746 : x
  2. Step 2: Convert to fraction form
    58,404/127,746 = 127,746/x
  3. Step 3: Cross multiply
    58,404x = 127,746 × 127,746
  4. Step 4: Simplify right side
    58,404x = 16,319,040,516
  5. Step 5: Solve for x
    x = 16,319,040,516/58,404
  6. Step 6: Final answer
    x = 279,416.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.