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Finding the Third Proportional to 70,674 and 153,617

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Solution

The third proportional to 70,674 and 153,617 is: 333,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,674 : 153,617 = 153,617 : x
  2. Step 2: Convert to fraction form
    70,674/153,617 = 153,617/x
  3. Step 3: Cross multiply
    70,674x = 153,617 × 153,617
  4. Step 4: Simplify right side
    70,674x = 23,598,182,689
  5. Step 5: Solve for x
    x = 23,598,182,689/70,674
  6. Step 6: Final answer
    x = 333,901.90

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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.