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Finding the Third Proportional to 61,014.25 and 125,001.75

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Solution

The third proportional to 61,014.25 and 125,001.75 is: 256,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,014.25 : 125,001.75 = 125,001.75 : x
  2. Step 2: Convert to fraction form
    61,014.25/125,001.75 = 125,001.75/x
  3. Step 3: Cross multiply
    61,014.25x = 125,001.75 × 125,001.75
  4. Step 4: Simplify right side
    61,014.25x = 15,625,437,503.06
  5. Step 5: Solve for x
    x = 15,625,437,503.06/61,014.25
  6. Step 6: Final answer
    x = 256,094.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.