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Finding the Third Proportional to 124,585.13 and 186,839.06

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Solution

The third proportional to 124,585.13 and 186,839.06 is: 280,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,585.13 : 186,839.06 = 186,839.06 : x
  2. Step 2: Convert to fraction form
    124,585.13/186,839.06 = 186,839.06/x
  3. Step 3: Cross multiply
    124,585.13x = 186,839.06 × 186,839.06
  4. Step 4: Simplify right side
    124,585.13x = 34,908,835,275.88
  5. Step 5: Solve for x
    x = 34,908,835,275.88/124,585.13
  6. Step 6: Final answer
    x = 280,200.67

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Why These Related Problems?

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