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Finding the Third Proportional to 58,438 and 127,931

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Solution

The third proportional to 58,438 and 127,931 is: 280,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,438 : 127,931 = 127,931 : x
  2. Step 2: Convert to fraction form
    58,438/127,931 = 127,931/x
  3. Step 3: Cross multiply
    58,438x = 127,931 × 127,931
  4. Step 4: Simplify right side
    58,438x = 16,366,340,761
  5. Step 5: Solve for x
    x = 16,366,340,761/58,438
  6. Step 6: Final answer
    x = 280,063.33

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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.