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Finding the Third Proportional to 129,249 and 186,158.25

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Solution

The third proportional to 129,249 and 186,158.25 is: 268,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,249 : 186,158.25 = 186,158.25 : x
  2. Step 2: Convert to fraction form
    129,249/186,158.25 = 186,158.25/x
  3. Step 3: Cross multiply
    129,249x = 186,158.25 × 186,158.25
  4. Step 4: Simplify right side
    129,249x = 34,654,894,043.06
  5. Step 5: Solve for x
    x = 34,654,894,043.06/129,249
  6. Step 6: Final answer
    x = 268,125.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.