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Finding the Third Proportional to 70,587 and 151,407

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Solution

The third proportional to 70,587 and 151,407 is: 324,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,587 : 151,407 = 151,407 : x
  2. Step 2: Convert to fraction form
    70,587/151,407 = 151,407/x
  3. Step 3: Cross multiply
    70,587x = 151,407 × 151,407
  4. Step 4: Simplify right side
    70,587x = 22,924,079,649
  5. Step 5: Solve for x
    x = 22,924,079,649/70,587
  6. Step 6: Final answer
    x = 324,763.48

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Why These Related Problems?

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