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Finding the Third Proportional to 131,301 and 185,802

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Solution

The third proportional to 131,301 and 185,802 is: 262,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301 : 185,802 = 185,802 : x
  2. Step 2: Convert to fraction form
    131,301/185,802 = 185,802/x
  3. Step 3: Cross multiply
    131,301x = 185,802 × 185,802
  4. Step 4: Simplify right side
    131,301x = 34,522,383,204
  5. Step 5: Solve for x
    x = 34,522,383,204/131,301
  6. Step 6: Final answer
    x = 262,925.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.