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Finding the Third Proportional to 92,001 and 123,639

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Solution

The third proportional to 92,001 and 123,639 is: 166,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,001 : 123,639 = 123,639 : x
  2. Step 2: Convert to fraction form
    92,001/123,639 = 123,639/x
  3. Step 3: Cross multiply
    92,001x = 123,639 × 123,639
  4. Step 4: Simplify right side
    92,001x = 15,286,602,321
  5. Step 5: Solve for x
    x = 15,286,602,321/92,001
  6. Step 6: Final answer
    x = 166,156.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.