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Finding the Third Proportional to 70,113 and 151,887

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Solution

The third proportional to 70,113 and 151,887 is: 329,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,113 : 151,887 = 151,887 : x
  2. Step 2: Convert to fraction form
    70,113/151,887 = 151,887/x
  3. Step 3: Cross multiply
    70,113x = 151,887 × 151,887
  4. Step 4: Simplify right side
    70,113x = 23,069,660,769
  5. Step 5: Solve for x
    x = 23,069,660,769/70,113
  6. Step 6: Final answer
    x = 329,035.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.