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Finding the Third Proportional to 75,172 and 160,712

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Solution

The third proportional to 75,172 and 160,712 is: 343,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172 : 160,712 = 160,712 : x
  2. Step 2: Convert to fraction form
    75,172/160,712 = 160,712/x
  3. Step 3: Cross multiply
    75,172x = 160,712 × 160,712
  4. Step 4: Simplify right side
    75,172x = 25,828,346,944
  5. Step 5: Solve for x
    x = 25,828,346,944/75,172
  6. Step 6: Final answer
    x = 343,589.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.