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Finding the Third Proportional to 70,098 and 153,767

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Solution

The third proportional to 70,098 and 153,767 is: 337,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098 : 153,767 = 153,767 : x
  2. Step 2: Convert to fraction form
    70,098/153,767 = 153,767/x
  3. Step 3: Cross multiply
    70,098x = 153,767 × 153,767
  4. Step 4: Simplify right side
    70,098x = 23,644,290,289
  5. Step 5: Solve for x
    x = 23,644,290,289/70,098
  6. Step 6: Final answer
    x = 337,303.35

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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.