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Finding the Third Proportional to 100,966.50 and 156,319

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Solution

The third proportional to 100,966.50 and 156,319 is: 242,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.50 : 156,319 = 156,319 : x
  2. Step 2: Convert to fraction form
    100,966.50/156,319 = 156,319/x
  3. Step 3: Cross multiply
    100,966.50x = 156,319 × 156,319
  4. Step 4: Simplify right side
    100,966.50x = 24,435,629,761
  5. Step 5: Solve for x
    x = 24,435,629,761/100,966.50
  6. Step 6: Final answer
    x = 242,017.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.