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Finding the Third Proportional to 124,602 and 186,387

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Solution

The third proportional to 124,602 and 186,387 is: 278,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,602 : 186,387 = 186,387 : x
  2. Step 2: Convert to fraction form
    124,602/186,387 = 186,387/x
  3. Step 3: Cross multiply
    124,602x = 186,387 × 186,387
  4. Step 4: Simplify right side
    124,602x = 34,740,113,769
  5. Step 5: Solve for x
    x = 34,740,113,769/124,602
  6. Step 6: Final answer
    x = 278,808.64

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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.