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Finding the Third Proportional to 109,742 and 160,713

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Solution

The third proportional to 109,742 and 160,713 is: 235,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,742 : 160,713 = 160,713 : x
  2. Step 2: Convert to fraction form
    109,742/160,713 = 160,713/x
  3. Step 3: Cross multiply
    109,742x = 160,713 × 160,713
  4. Step 4: Simplify right side
    109,742x = 25,828,668,369
  5. Step 5: Solve for x
    x = 25,828,668,369/109,742
  6. Step 6: Final answer
    x = 235,358.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.