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Finding the Third Proportional to 70,113 and 150,060

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Solution

The third proportional to 70,113 and 150,060 is: 321,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,113 : 150,060 = 150,060 : x
  2. Step 2: Convert to fraction form
    70,113/150,060 = 150,060/x
  3. Step 3: Cross multiply
    70,113x = 150,060 × 150,060
  4. Step 4: Simplify right side
    70,113x = 22,518,003,600
  5. Step 5: Solve for x
    x = 22,518,003,600/70,113
  6. Step 6: Final answer
    x = 321,167.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.