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Finding the Third Proportional to 81,280.13 and 107,848.13

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Solution

The third proportional to 81,280.13 and 107,848.13 is: 143,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,280.13 : 107,848.13 = 107,848.13 : x
  2. Step 2: Convert to fraction form
    81,280.13/107,848.13 = 107,848.13/x
  3. Step 3: Cross multiply
    81,280.13x = 107,848.13 × 107,848.13
  4. Step 4: Simplify right side
    81,280.13x = 11,631,218,066.02
  5. Step 5: Solve for x
    x = 11,631,218,066.02/81,280.13
  6. Step 6: Final answer
    x = 143,100.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.