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Finding the Third Proportional to 72,964 and 158,708

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Solution

The third proportional to 72,964 and 158,708 is: 345,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964 : 158,708 = 158,708 : x
  2. Step 2: Convert to fraction form
    72,964/158,708 = 158,708/x
  3. Step 3: Cross multiply
    72,964x = 158,708 × 158,708
  4. Step 4: Simplify right side
    72,964x = 25,188,229,264
  5. Step 5: Solve for x
    x = 25,188,229,264/72,964
  6. Step 6: Final answer
    x = 345,214.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.