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Finding the Third Proportional to 60,929.50 and 133,629.50

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Solution

The third proportional to 60,929.50 and 133,629.50 is: 293,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,929.50 : 133,629.50 = 133,629.50 : x
  2. Step 2: Convert to fraction form
    60,929.50/133,629.50 = 133,629.50/x
  3. Step 3: Cross multiply
    60,929.50x = 133,629.50 × 133,629.50
  4. Step 4: Simplify right side
    60,929.50x = 17,856,843,270.25
  5. Step 5: Solve for x
    x = 17,856,843,270.25/60,929.50
  6. Step 6: Final answer
    x = 293,073.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.