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Finding the Third Proportional to 58,312.69 and 125,929.13

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Solution

The third proportional to 58,312.69 and 125,929.13 is: 271,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,312.69 : 125,929.13 = 125,929.13 : x
  2. Step 2: Convert to fraction form
    58,312.69/125,929.13 = 125,929.13/x
  3. Step 3: Cross multiply
    58,312.69x = 125,929.13 × 125,929.13
  4. Step 4: Simplify right side
    58,312.69x = 15,858,144,523.27
  5. Step 5: Solve for x
    x = 15,858,144,523.27/58,312.69
  6. Step 6: Final answer
    x = 271,950.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.