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Finding the Third Proportional to 100,486.50 and 156,264

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Solution

The third proportional to 100,486.50 and 156,264 is: 243,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,486.50 : 156,264 = 156,264 : x
  2. Step 2: Convert to fraction form
    100,486.50/156,264 = 156,264/x
  3. Step 3: Cross multiply
    100,486.50x = 156,264 × 156,264
  4. Step 4: Simplify right side
    100,486.50x = 24,418,437,696
  5. Step 5: Solve for x
    x = 24,418,437,696/100,486.50
  6. Step 6: Final answer
    x = 243,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.