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Finding the Third Proportional to 97,092 and 137,538

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Solution

The third proportional to 97,092 and 137,538 is: 194,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092 : 137,538 = 137,538 : x
  2. Step 2: Convert to fraction form
    97,092/137,538 = 137,538/x
  3. Step 3: Cross multiply
    97,092x = 137,538 × 137,538
  4. Step 4: Simplify right side
    97,092x = 18,916,701,444
  5. Step 5: Solve for x
    x = 18,916,701,444/97,092
  6. Step 6: Final answer
    x = 194,832.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.