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Finding the Third Proportional to 80,298 and 124,335

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Solution

The third proportional to 80,298 and 124,335 is: 192,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,298 : 124,335 = 124,335 : x
  2. Step 2: Convert to fraction form
    80,298/124,335 = 124,335/x
  3. Step 3: Cross multiply
    80,298x = 124,335 × 124,335
  4. Step 4: Simplify right side
    80,298x = 15,459,192,225
  5. Step 5: Solve for x
    x = 15,459,192,225/80,298
  6. Step 6: Final answer
    x = 192,522.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.