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Finding the Third Proportional to 92,374 and 148,770

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Solution

The third proportional to 92,374 and 148,770 is: 239,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,374 : 148,770 = 148,770 : x
  2. Step 2: Convert to fraction form
    92,374/148,770 = 148,770/x
  3. Step 3: Cross multiply
    92,374x = 148,770 × 148,770
  4. Step 4: Simplify right side
    92,374x = 22,132,512,900
  5. Step 5: Solve for x
    x = 22,132,512,900/92,374
  6. Step 6: Final answer
    x = 239,596.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.