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Finding the Third Proportional to 70,015 and 153,637

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Solution

The third proportional to 70,015 and 153,637 is: 337,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,015 : 153,637 = 153,637 : x
  2. Step 2: Convert to fraction form
    70,015/153,637 = 153,637/x
  3. Step 3: Cross multiply
    70,015x = 153,637 × 153,637
  4. Step 4: Simplify right side
    70,015x = 23,604,327,769
  5. Step 5: Solve for x
    x = 23,604,327,769/70,015
  6. Step 6: Final answer
    x = 337,132.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.