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Finding the Third Proportional to 91,438 and 137,157

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Solution

The third proportional to 91,438 and 137,157 is: 205,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,438 : 137,157 = 137,157 : x
  2. Step 2: Convert to fraction form
    91,438/137,157 = 137,157/x
  3. Step 3: Cross multiply
    91,438x = 137,157 × 137,157
  4. Step 4: Simplify right side
    91,438x = 18,812,042,649
  5. Step 5: Solve for x
    x = 18,812,042,649/91,438
  6. Step 6: Final answer
    x = 205,735.50

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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.