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Finding the Third Proportional to 61,200.50 and 133,633

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Solution

The third proportional to 61,200.50 and 133,633 is: 291,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200.50 : 133,633 = 133,633 : x
  2. Step 2: Convert to fraction form
    61,200.50/133,633 = 133,633/x
  3. Step 3: Cross multiply
    61,200.50x = 133,633 × 133,633
  4. Step 4: Simplify right side
    61,200.50x = 17,857,778,689
  5. Step 5: Solve for x
    x = 17,857,778,689/61,200.50
  6. Step 6: Final answer
    x = 291,791.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.