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Finding the Third Proportional to 54,334 and 83,115.50

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Solution

The third proportional to 54,334 and 83,115.50 is: 127,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334 : 83,115.50 = 83,115.50 : x
  2. Step 2: Convert to fraction form
    54,334/83,115.50 = 83,115.50/x
  3. Step 3: Cross multiply
    54,334x = 83,115.50 × 83,115.50
  4. Step 4: Simplify right side
    54,334x = 6,908,186,340.25
  5. Step 5: Solve for x
    x = 6,908,186,340.25/54,334
  6. Step 6: Final answer
    x = 127,142.97

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Why These Related Problems?

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