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Finding the Third Proportional to 58,464 and 128,592

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Solution

The third proportional to 58,464 and 128,592 is: 282,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,464 : 128,592 = 128,592 : x
  2. Step 2: Convert to fraction form
    58,464/128,592 = 128,592/x
  3. Step 3: Cross multiply
    58,464x = 128,592 × 128,592
  4. Step 4: Simplify right side
    58,464x = 16,535,902,464
  5. Step 5: Solve for x
    x = 16,535,902,464/58,464
  6. Step 6: Final answer
    x = 282,839.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.