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Finding the Third Proportional to 48,186.25 and 74,158.13

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Solution

The third proportional to 48,186.25 and 74,158.13 is: 114,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,186.25 : 74,158.13 = 74,158.13 : x
  2. Step 2: Convert to fraction form
    48,186.25/74,158.13 = 74,158.13/x
  3. Step 3: Cross multiply
    48,186.25x = 74,158.13 × 74,158.13
  4. Step 4: Simplify right side
    48,186.25x = 5,499,427,503.52
  5. Step 5: Solve for x
    x = 5,499,427,503.52/48,186.25
  6. Step 6: Final answer
    x = 114,128.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.