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Finding the Third Proportional to 58,442.06 and 127,819.13

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Solution

The third proportional to 58,442.06 and 127,819.13 is: 279,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,442.06 : 127,819.13 = 127,819.13 : x
  2. Step 2: Convert to fraction form
    58,442.06/127,819.13 = 127,819.13/x
  3. Step 3: Cross multiply
    58,442.06x = 127,819.13 × 127,819.13
  4. Step 4: Simplify right side
    58,442.06x = 16,337,728,715.77
  5. Step 5: Solve for x
    x = 16,337,728,715.77/58,442.06
  6. Step 6: Final answer
    x = 279,554.28

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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.