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Finding the Third Proportional to 92,442 and 142,738.50

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Solution

The third proportional to 92,442 and 142,738.50 is: 220,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,442 : 142,738.50 = 142,738.50 : x
  2. Step 2: Convert to fraction form
    92,442/142,738.50 = 142,738.50/x
  3. Step 3: Cross multiply
    92,442x = 142,738.50 × 142,738.50
  4. Step 4: Simplify right side
    92,442x = 20,374,279,382.25
  5. Step 5: Solve for x
    x = 20,374,279,382.25/92,442
  6. Step 6: Final answer
    x = 220,400.68

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