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Finding the Third Proportional to 112,386 and 168,522

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Solution

The third proportional to 112,386 and 168,522 is: 252,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,386 : 168,522 = 168,522 : x
  2. Step 2: Convert to fraction form
    112,386/168,522 = 168,522/x
  3. Step 3: Cross multiply
    112,386x = 168,522 × 168,522
  4. Step 4: Simplify right side
    112,386x = 28,399,664,484
  5. Step 5: Solve for x
    x = 28,399,664,484/112,386
  6. Step 6: Final answer
    x = 252,697.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.