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Finding the Third Proportional to 61,100.25 and 130,266.75

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Solution

The third proportional to 61,100.25 and 130,266.75 is: 277,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,100.25 : 130,266.75 = 130,266.75 : x
  2. Step 2: Convert to fraction form
    61,100.25/130,266.75 = 130,266.75/x
  3. Step 3: Cross multiply
    61,100.25x = 130,266.75 × 130,266.75
  4. Step 4: Simplify right side
    61,100.25x = 16,969,426,155.56
  5. Step 5: Solve for x
    x = 16,969,426,155.56/61,100.25
  6. Step 6: Final answer
    x = 277,730.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.