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Finding the Third Proportional to 60,829 and 133,500

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Solution

The third proportional to 60,829 and 133,500 is: 292,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,829 : 133,500 = 133,500 : x
  2. Step 2: Convert to fraction form
    60,829/133,500 = 133,500/x
  3. Step 3: Cross multiply
    60,829x = 133,500 × 133,500
  4. Step 4: Simplify right side
    60,829x = 17,822,250,000
  5. Step 5: Solve for x
    x = 17,822,250,000/60,829
  6. Step 6: Final answer
    x = 292,989.36

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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.