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Finding the Third Proportional to 124,589.63 and 186,844.88

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Solution

The third proportional to 124,589.63 and 186,844.88 is: 280,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,589.63 : 186,844.88 = 186,844.88 : x
  2. Step 2: Convert to fraction form
    124,589.63/186,844.88 = 186,844.88/x
  3. Step 3: Cross multiply
    124,589.63x = 186,844.88 × 186,844.88
  4. Step 4: Simplify right side
    124,589.63x = 34,911,007,313.77
  5. Step 5: Solve for x
    x = 34,911,007,313.77/124,589.63
  6. Step 6: Final answer
    x = 280,207.98

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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.