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Finding the Third Proportional to 92,261 and 137,911

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Solution

The third proportional to 92,261 and 137,911 is: 206,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,261 : 137,911 = 137,911 : x
  2. Step 2: Convert to fraction form
    92,261/137,911 = 137,911/x
  3. Step 3: Cross multiply
    92,261x = 137,911 × 137,911
  4. Step 4: Simplify right side
    92,261x = 19,019,443,921
  5. Step 5: Solve for x
    x = 19,019,443,921/92,261
  6. Step 6: Final answer
    x = 206,148.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.