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Finding the Third Proportional to 118,626 and 156,798

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Solution

The third proportional to 118,626 and 156,798 is: 207,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,626 : 156,798 = 156,798 : x
  2. Step 2: Convert to fraction form
    118,626/156,798 = 156,798/x
  3. Step 3: Cross multiply
    118,626x = 156,798 × 156,798
  4. Step 4: Simplify right side
    118,626x = 24,585,612,804
  5. Step 5: Solve for x
    x = 24,585,612,804/118,626
  6. Step 6: Final answer
    x = 207,253.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.