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Finding the Third Proportional to 61,580.53 and 133,281.56

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Solution

The third proportional to 61,580.53 and 133,281.56 is: 288,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,580.53 : 133,281.56 = 133,281.56 : x
  2. Step 2: Convert to fraction form
    61,580.53/133,281.56 = 133,281.56/x
  3. Step 3: Cross multiply
    61,580.53x = 133,281.56 × 133,281.56
  4. Step 4: Simplify right side
    61,580.53x = 17,763,974,902.44
  5. Step 5: Solve for x
    x = 17,763,974,902.44/61,580.53
  6. Step 6: Final answer
    x = 288,467.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.