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Finding the Third Proportional to 91,656 and 137,726

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Solution

The third proportional to 91,656 and 137,726 is: 206,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,656 : 137,726 = 137,726 : x
  2. Step 2: Convert to fraction form
    91,656/137,726 = 137,726/x
  3. Step 3: Cross multiply
    91,656x = 137,726 × 137,726
  4. Step 4: Simplify right side
    91,656x = 18,968,451,076
  5. Step 5: Solve for x
    x = 18,968,451,076/91,656
  6. Step 6: Final answer
    x = 206,952.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.