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Finding the Third Proportional to 61,933.50 and 135,681

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Solution

The third proportional to 61,933.50 and 135,681 is: 297,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,933.50 : 135,681 = 135,681 : x
  2. Step 2: Convert to fraction form
    61,933.50/135,681 = 135,681/x
  3. Step 3: Cross multiply
    61,933.50x = 135,681 × 135,681
  4. Step 4: Simplify right side
    61,933.50x = 18,409,333,761
  5. Step 5: Solve for x
    x = 18,409,333,761/61,933.50
  6. Step 6: Final answer
    x = 297,243.56

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Why These Related Problems?

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