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Finding the Third Proportional to 100,855.13 and 137,045.25

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Solution

The third proportional to 100,855.13 and 137,045.25 is: 186,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,855.13 : 137,045.25 = 137,045.25 : x
  2. Step 2: Convert to fraction form
    100,855.13/137,045.25 = 137,045.25/x
  3. Step 3: Cross multiply
    100,855.13x = 137,045.25 × 137,045.25
  4. Step 4: Simplify right side
    100,855.13x = 18,781,400,547.56
  5. Step 5: Solve for x
    x = 18,781,400,547.56/100,855.13
  6. Step 6: Final answer
    x = 186,221.58

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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.