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Finding the Third Proportional to 61,272.38 and 128,155.88

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Solution

The third proportional to 61,272.38 and 128,155.88 is: 268,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,272.38 : 128,155.88 = 128,155.88 : x
  2. Step 2: Convert to fraction form
    61,272.38/128,155.88 = 128,155.88/x
  3. Step 3: Cross multiply
    61,272.38x = 128,155.88 × 128,155.88
  4. Step 4: Simplify right side
    61,272.38x = 16,423,928,297.02
  5. Step 5: Solve for x
    x = 16,423,928,297.02/61,272.38
  6. Step 6: Final answer
    x = 268,047.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.