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Finding the Third Proportional to 60,820 and 94,134

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Solution

The third proportional to 60,820 and 94,134 is: 145,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,820 : 94,134 = 94,134 : x
  2. Step 2: Convert to fraction form
    60,820/94,134 = 94,134/x
  3. Step 3: Cross multiply
    60,820x = 94,134 × 94,134
  4. Step 4: Simplify right side
    60,820x = 8,861,209,956
  5. Step 5: Solve for x
    x = 8,861,209,956/60,820
  6. Step 6: Final answer
    x = 145,695.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.