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Finding the Third Proportional to 92,443 and 142,740

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Solution

The third proportional to 92,443 and 142,740 is: 220,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,443 : 142,740 = 142,740 : x
  2. Step 2: Convert to fraction form
    92,443/142,740 = 142,740/x
  3. Step 3: Cross multiply
    92,443x = 142,740 × 142,740
  4. Step 4: Simplify right side
    92,443x = 20,374,707,600
  5. Step 5: Solve for x
    x = 20,374,707,600/92,443
  6. Step 6: Final answer
    x = 220,402.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.