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Finding the Third Proportional to 124,886.81 and 269,722.41

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Solution

The third proportional to 124,886.81 and 269,722.41 is: 582,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,886.81 : 269,722.41 = 269,722.41 : x
  2. Step 2: Convert to fraction form
    124,886.81/269,722.41 = 269,722.41/x
  3. Step 3: Cross multiply
    124,886.81x = 269,722.41 × 269,722.41
  4. Step 4: Simplify right side
    124,886.81x = 72,750,176,433.29
  5. Step 5: Solve for x
    x = 72,750,176,433.29/124,886.81
  6. Step 6: Final answer
    x = 582,528.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.