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Finding the Third Proportional to 74,699 and 160,726

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Solution

The third proportional to 74,699 and 160,726 is: 345,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,699 : 160,726 = 160,726 : x
  2. Step 2: Convert to fraction form
    74,699/160,726 = 160,726/x
  3. Step 3: Cross multiply
    74,699x = 160,726 × 160,726
  4. Step 4: Simplify right side
    74,699x = 25,832,847,076
  5. Step 5: Solve for x
    x = 25,832,847,076/74,699
  6. Step 6: Final answer
    x = 345,825.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.