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Finding the Third Proportional to 61,102.13 and 128,044.13

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Solution

The third proportional to 61,102.13 and 128,044.13 is: 268,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,102.13 : 128,044.13 = 128,044.13 : x
  2. Step 2: Convert to fraction form
    61,102.13/128,044.13 = 128,044.13/x
  3. Step 3: Cross multiply
    61,102.13x = 128,044.13 × 128,044.13
  4. Step 4: Simplify right side
    61,102.13x = 16,395,297,947.02
  5. Step 5: Solve for x
    x = 16,395,297,947.02/61,102.13
  6. Step 6: Final answer
    x = 268,326.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.