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Finding the Third Proportional to 69,248 and 92,415

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Solution

The third proportional to 69,248 and 92,415 is: 123,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,248 : 92,415 = 92,415 : x
  2. Step 2: Convert to fraction form
    69,248/92,415 = 92,415/x
  3. Step 3: Cross multiply
    69,248x = 92,415 × 92,415
  4. Step 4: Simplify right side
    69,248x = 8,540,532,225
  5. Step 5: Solve for x
    x = 8,540,532,225/69,248
  6. Step 6: Final answer
    x = 123,332.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.