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Finding the Third Proportional to 58,464 and 127,862

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Solution

The third proportional to 58,464 and 127,862 is: 279,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,464 : 127,862 = 127,862 : x
  2. Step 2: Convert to fraction form
    58,464/127,862 = 127,862/x
  3. Step 3: Cross multiply
    58,464x = 127,862 × 127,862
  4. Step 4: Simplify right side
    58,464x = 16,348,691,044
  5. Step 5: Solve for x
    x = 16,348,691,044/58,464
  6. Step 6: Final answer
    x = 279,636.89

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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.