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Finding the Third Proportional to 100,504.50 and 156,291

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Solution

The third proportional to 100,504.50 and 156,291 is: 243,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504.50 : 156,291 = 156,291 : x
  2. Step 2: Convert to fraction form
    100,504.50/156,291 = 156,291/x
  3. Step 3: Cross multiply
    100,504.50x = 156,291 × 156,291
  4. Step 4: Simplify right side
    100,504.50x = 24,426,876,681
  5. Step 5: Solve for x
    x = 24,426,876,681/100,504.50
  6. Step 6: Final answer
    x = 243,042.62

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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.