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Finding the Third Proportional to 113,568.19 and 165,422.81

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Solution

The third proportional to 113,568.19 and 165,422.81 is: 240,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,568.19 : 165,422.81 = 165,422.81 : x
  2. Step 2: Convert to fraction form
    113,568.19/165,422.81 = 165,422.81/x
  3. Step 3: Cross multiply
    113,568.19x = 165,422.81 × 165,422.81
  4. Step 4: Simplify right side
    113,568.19x = 27,364,706,895.41
  5. Step 5: Solve for x
    x = 27,364,706,895.41/113,568.19
  6. Step 6: Final answer
    x = 240,953.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.