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Finding the Third Proportional to 75,314 and 163,746

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Solution

The third proportional to 75,314 and 163,746 is: 356,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314 : 163,746 = 163,746 : x
  2. Step 2: Convert to fraction form
    75,314/163,746 = 163,746/x
  3. Step 3: Cross multiply
    75,314x = 163,746 × 163,746
  4. Step 4: Simplify right side
    75,314x = 26,812,752,516
  5. Step 5: Solve for x
    x = 26,812,752,516/75,314
  6. Step 6: Final answer
    x = 356,012.86

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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.