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Finding the Third Proportional to 112,416 and 150,368

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Solution

The third proportional to 112,416 and 150,368 is: 201,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,416 : 150,368 = 150,368 : x
  2. Step 2: Convert to fraction form
    112,416/150,368 = 150,368/x
  3. Step 3: Cross multiply
    112,416x = 150,368 × 150,368
  4. Step 4: Simplify right side
    112,416x = 22,610,535,424
  5. Step 5: Solve for x
    x = 22,610,535,424/112,416
  6. Step 6: Final answer
    x = 201,132.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.