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Finding the Third Proportional to 100,549.50 and 156,342

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Solution

The third proportional to 100,549.50 and 156,342 is: 243,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,549.50 : 156,342 = 156,342 : x
  2. Step 2: Convert to fraction form
    100,549.50/156,342 = 156,342/x
  3. Step 3: Cross multiply
    100,549.50x = 156,342 × 156,342
  4. Step 4: Simplify right side
    100,549.50x = 24,442,820,964
  5. Step 5: Solve for x
    x = 24,442,820,964/100,549.50
  6. Step 6: Final answer
    x = 243,092.42

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