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Finding the Third Proportional to 92,630 and 143,522

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Solution

The third proportional to 92,630 and 143,522 is: 222,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,630 : 143,522 = 143,522 : x
  2. Step 2: Convert to fraction form
    92,630/143,522 = 143,522/x
  3. Step 3: Cross multiply
    92,630x = 143,522 × 143,522
  4. Step 4: Simplify right side
    92,630x = 20,598,564,484
  5. Step 5: Solve for x
    x = 20,598,564,484/92,630
  6. Step 6: Final answer
    x = 222,374.66

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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.