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Finding the Third Proportional to 70,492 and 103,092

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Solution

The third proportional to 70,492 and 103,092 is: 150,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492 : 103,092 = 103,092 : x
  2. Step 2: Convert to fraction form
    70,492/103,092 = 103,092/x
  3. Step 3: Cross multiply
    70,492x = 103,092 × 103,092
  4. Step 4: Simplify right side
    70,492x = 10,627,960,464
  5. Step 5: Solve for x
    x = 10,627,960,464/70,492
  6. Step 6: Final answer
    x = 150,768.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.