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Finding the Third Proportional to 82,207.13 and 111,403.13

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Solution

The third proportional to 82,207.13 and 111,403.13 is: 150,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,207.13 : 111,403.13 = 111,403.13 : x
  2. Step 2: Convert to fraction form
    82,207.13/111,403.13 = 111,403.13/x
  3. Step 3: Cross multiply
    82,207.13x = 111,403.13 × 111,403.13
  4. Step 4: Simplify right side
    82,207.13x = 12,410,656,259.77
  5. Step 5: Solve for x
    x = 12,410,656,259.77/82,207.13
  6. Step 6: Final answer
    x = 150,968.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.