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Finding the Third Proportional to 60,429.25 and 132,822.50

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Solution

The third proportional to 60,429.25 and 132,822.50 is: 291,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,429.25 : 132,822.50 = 132,822.50 : x
  2. Step 2: Convert to fraction form
    60,429.25/132,822.50 = 132,822.50/x
  3. Step 3: Cross multiply
    60,429.25x = 132,822.50 × 132,822.50
  4. Step 4: Simplify right side
    60,429.25x = 17,641,816,506.25
  5. Step 5: Solve for x
    x = 17,641,816,506.25/60,429.25
  6. Step 6: Final answer
    x = 291,941.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.