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Finding the Third Proportional to 49,572 and 108,045.14

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Solution

The third proportional to 49,572 and 108,045.14 is: 235,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,572 : 108,045.14 = 108,045.14 : x
  2. Step 2: Convert to fraction form
    49,572/108,045.14 = 108,045.14/x
  3. Step 3: Cross multiply
    49,572x = 108,045.14 × 108,045.14
  4. Step 4: Simplify right side
    49,572x = 11,673,752,412.68
  5. Step 5: Solve for x
    x = 11,673,752,412.68/49,572
  6. Step 6: Final answer
    x = 235,490.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.