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Finding the Third Proportional to 94,922 and 137,486

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Solution

The third proportional to 94,922 and 137,486 is: 199,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,922 : 137,486 = 137,486 : x
  2. Step 2: Convert to fraction form
    94,922/137,486 = 137,486/x
  3. Step 3: Cross multiply
    94,922x = 137,486 × 137,486
  4. Step 4: Simplify right side
    94,922x = 18,902,400,196
  5. Step 5: Solve for x
    x = 18,902,400,196/94,922
  6. Step 6: Final answer
    x = 199,136.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.