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Finding the Third Proportional to 100,957.50 and 156,767

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Solution

The third proportional to 100,957.50 and 156,767 is: 243,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957.50 : 156,767 = 156,767 : x
  2. Step 2: Convert to fraction form
    100,957.50/156,767 = 156,767/x
  3. Step 3: Cross multiply
    100,957.50x = 156,767 × 156,767
  4. Step 4: Simplify right side
    100,957.50x = 24,575,892,289
  5. Step 5: Solve for x
    x = 24,575,892,289/100,957.50
  6. Step 6: Final answer
    x = 243,428.10

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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.