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Finding the Third Proportional to 40,289 and 88,354

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Solution

The third proportional to 40,289 and 88,354 is: 193,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,289 : 88,354 = 88,354 : x
  2. Step 2: Convert to fraction form
    40,289/88,354 = 88,354/x
  3. Step 3: Cross multiply
    40,289x = 88,354 × 88,354
  4. Step 4: Simplify right side
    40,289x = 7,806,429,316
  5. Step 5: Solve for x
    x = 7,806,429,316/40,289
  6. Step 6: Final answer
    x = 193,760.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.