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Finding the Third Proportional to 83,931.19 and 118,675.13

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Solution

The third proportional to 83,931.19 and 118,675.13 is: 167,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,931.19 : 118,675.13 = 118,675.13 : x
  2. Step 2: Convert to fraction form
    83,931.19/118,675.13 = 118,675.13/x
  3. Step 3: Cross multiply
    83,931.19x = 118,675.13 × 118,675.13
  4. Step 4: Simplify right side
    83,931.19x = 14,083,785,293.77
  5. Step 5: Solve for x
    x = 14,083,785,293.77/83,931.19
  6. Step 6: Final answer
    x = 167,801.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.