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Finding the Third Proportional to 54,166 and 83,707.50

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Solution

The third proportional to 54,166 and 83,707.50 is: 129,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,166 : 83,707.50 = 83,707.50 : x
  2. Step 2: Convert to fraction form
    54,166/83,707.50 = 83,707.50/x
  3. Step 3: Cross multiply
    54,166x = 83,707.50 × 83,707.50
  4. Step 4: Simplify right side
    54,166x = 7,006,945,556.25
  5. Step 5: Solve for x
    x = 7,006,945,556.25/54,166
  6. Step 6: Final answer
    x = 129,360.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.