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Finding the Third Proportional to 70,744 and 153,764

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Solution

The third proportional to 70,744 and 153,764 is: 334,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,744 : 153,764 = 153,764 : x
  2. Step 2: Convert to fraction form
    70,744/153,764 = 153,764/x
  3. Step 3: Cross multiply
    70,744x = 153,764 × 153,764
  4. Step 4: Simplify right side
    70,744x = 23,643,367,696
  5. Step 5: Solve for x
    x = 23,643,367,696/70,744
  6. Step 6: Final answer
    x = 334,210.22

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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.