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Finding the Third Proportional to 92,952 and 143,626

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Solution

The third proportional to 92,952 and 143,626 is: 221,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,952 : 143,626 = 143,626 : x
  2. Step 2: Convert to fraction form
    92,952/143,626 = 143,626/x
  3. Step 3: Cross multiply
    92,952x = 143,626 × 143,626
  4. Step 4: Simplify right side
    92,952x = 20,628,427,876
  5. Step 5: Solve for x
    x = 20,628,427,876/92,952
  6. Step 6: Final answer
    x = 221,925.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.