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Finding the Third Proportional to 59,112.75 and 83,140.50

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Solution

The third proportional to 59,112.75 and 83,140.50 is: 116,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,112.75 : 83,140.50 = 83,140.50 : x
  2. Step 2: Convert to fraction form
    59,112.75/83,140.50 = 83,140.50/x
  3. Step 3: Cross multiply
    59,112.75x = 83,140.50 × 83,140.50
  4. Step 4: Simplify right side
    59,112.75x = 6,912,342,740.25
  5. Step 5: Solve for x
    x = 6,912,342,740.25/59,112.75
  6. Step 6: Final answer
    x = 116,934.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.