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Finding the Third Proportional to 70,184 and 91,060

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Solution

The third proportional to 70,184 and 91,060 is: 118,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,184 : 91,060 = 91,060 : x
  2. Step 2: Convert to fraction form
    70,184/91,060 = 91,060/x
  3. Step 3: Cross multiply
    70,184x = 91,060 × 91,060
  4. Step 4: Simplify right side
    70,184x = 8,291,923,600
  5. Step 5: Solve for x
    x = 8,291,923,600/70,184
  6. Step 6: Final answer
    x = 118,145.50

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.