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Finding the Third Proportional to 49,663.13 and 74,147.27

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Solution

The third proportional to 49,663.13 and 74,147.27 is: 110,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663.13 : 74,147.27 = 74,147.27 : x
  2. Step 2: Convert to fraction form
    49,663.13/74,147.27 = 74,147.27/x
  3. Step 3: Cross multiply
    49,663.13x = 74,147.27 × 74,147.27
  4. Step 4: Simplify right side
    49,663.13x = 5,497,818,158.22
  5. Step 5: Solve for x
    x = 5,497,818,158.22/49,663.13
  6. Step 6: Final answer
    x = 110,702.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.