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Finding the Third Proportional to 61,084.13 and 100,207.13

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Solution

The third proportional to 61,084.13 and 100,207.13 is: 164,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,084.13 : 100,207.13 = 100,207.13 : x
  2. Step 2: Convert to fraction form
    61,084.13/100,207.13 = 100,207.13/x
  3. Step 3: Cross multiply
    61,084.13x = 100,207.13 × 100,207.13
  4. Step 4: Simplify right side
    61,084.13x = 10,041,467,900.77
  5. Step 5: Solve for x
    x = 10,041,467,900.77/61,084.13
  6. Step 6: Final answer
    x = 164,387.52

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.