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Finding the Third Proportional to 100,498.50 and 156,282

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Solution

The third proportional to 100,498.50 and 156,282 is: 243,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,498.50 : 156,282 = 156,282 : x
  2. Step 2: Convert to fraction form
    100,498.50/156,282 = 156,282/x
  3. Step 3: Cross multiply
    100,498.50x = 156,282 × 156,282
  4. Step 4: Simplify right side
    100,498.50x = 24,424,063,524
  5. Step 5: Solve for x
    x = 24,424,063,524/100,498.50
  6. Step 6: Final answer
    x = 243,029.14

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