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Finding the Third Proportional to 89,727 and 130,414.50

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Solution

The third proportional to 89,727 and 130,414.50 is: 189,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,727 : 130,414.50 = 130,414.50 : x
  2. Step 2: Convert to fraction form
    89,727/130,414.50 = 130,414.50/x
  3. Step 3: Cross multiply
    89,727x = 130,414.50 × 130,414.50
  4. Step 4: Simplify right side
    89,727x = 17,007,941,810.25
  5. Step 5: Solve for x
    x = 17,007,941,810.25/89,727
  6. Step 6: Final answer
    x = 189,552.11

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.