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Finding the Third Proportional to 92,320 and 144,637

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Solution

The third proportional to 92,320 and 144,637 is: 226,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,320 : 144,637 = 144,637 : x
  2. Step 2: Convert to fraction form
    92,320/144,637 = 144,637/x
  3. Step 3: Cross multiply
    92,320x = 144,637 × 144,637
  4. Step 4: Simplify right side
    92,320x = 20,919,861,769
  5. Step 5: Solve for x
    x = 20,919,861,769/92,320
  6. Step 6: Final answer
    x = 226,601.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.