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Finding the Third Proportional to 112,732 and 168,746

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Solution

The third proportional to 112,732 and 168,746 is: 252,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,732 : 168,746 = 168,746 : x
  2. Step 2: Convert to fraction form
    112,732/168,746 = 168,746/x
  3. Step 3: Cross multiply
    112,732x = 168,746 × 168,746
  4. Step 4: Simplify right side
    112,732x = 28,475,212,516
  5. Step 5: Solve for x
    x = 28,475,212,516/112,732
  6. Step 6: Final answer
    x = 252,592.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.