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Finding the Third Proportional to 60,530 and 90,340

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Solution

The third proportional to 60,530 and 90,340 is: 134,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,530 : 90,340 = 90,340 : x
  2. Step 2: Convert to fraction form
    60,530/90,340 = 90,340/x
  3. Step 3: Cross multiply
    60,530x = 90,340 × 90,340
  4. Step 4: Simplify right side
    60,530x = 8,161,315,600
  5. Step 5: Solve for x
    x = 8,161,315,600/60,530
  6. Step 6: Final answer
    x = 134,830.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.