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Finding the Third Proportional to 61,840.13 and 133,454.25

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Solution

The third proportional to 61,840.13 and 133,454.25 is: 288,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,840.13 : 133,454.25 = 133,454.25 : x
  2. Step 2: Convert to fraction form
    61,840.13/133,454.25 = 133,454.25/x
  3. Step 3: Cross multiply
    61,840.13x = 133,454.25 × 133,454.25
  4. Step 4: Simplify right side
    61,840.13x = 17,810,036,843.06
  5. Step 5: Solve for x
    x = 17,810,036,843.06/61,840.13
  6. Step 6: Final answer
    x = 288,001.31

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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.