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Finding the Third Proportional to 112,438 and 168,603

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Solution

The third proportional to 112,438 and 168,603 is: 252,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,438 : 168,603 = 168,603 : x
  2. Step 2: Convert to fraction form
    112,438/168,603 = 168,603/x
  3. Step 3: Cross multiply
    112,438x = 168,603 × 168,603
  4. Step 4: Simplify right side
    112,438x = 28,426,971,609
  5. Step 5: Solve for x
    x = 28,426,971,609/112,438
  6. Step 6: Final answer
    x = 252,823.53

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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.