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Finding the Third Proportional to 54,332 and 83,112.50

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Solution

The third proportional to 54,332 and 83,112.50 is: 127,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,332 : 83,112.50 = 83,112.50 : x
  2. Step 2: Convert to fraction form
    54,332/83,112.50 = 83,112.50/x
  3. Step 3: Cross multiply
    54,332x = 83,112.50 × 83,112.50
  4. Step 4: Simplify right side
    54,332x = 6,907,687,656.25
  5. Step 5: Solve for x
    x = 6,907,687,656.25/54,332
  6. Step 6: Final answer
    x = 127,138.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.