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Finding the Third Proportional to 49,113 and 74,077.88

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Solution

The third proportional to 49,113 and 74,077.88 is: 111,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,113 : 74,077.88 = 74,077.88 : x
  2. Step 2: Convert to fraction form
    49,113/74,077.88 = 74,077.88/x
  3. Step 3: Cross multiply
    49,113x = 74,077.88 × 74,077.88
  4. Step 4: Simplify right side
    49,113x = 5,487,531,564.52
  5. Step 5: Solve for x
    x = 5,487,531,564.52/49,113
  6. Step 6: Final answer
    x = 111,732.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.