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Finding the Third Proportional to 103,443 and 161,294.50

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Solution

The third proportional to 103,443 and 161,294.50 is: 251,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,443 : 161,294.50 = 161,294.50 : x
  2. Step 2: Convert to fraction form
    103,443/161,294.50 = 161,294.50/x
  3. Step 3: Cross multiply
    103,443x = 161,294.50 × 161,294.50
  4. Step 4: Simplify right side
    103,443x = 26,015,915,730.25
  5. Step 5: Solve for x
    x = 26,015,915,730.25/103,443
  6. Step 6: Final answer
    x = 251,500.01

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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.