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Finding the Third Proportional to 80,465 and 112,549

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Solution

The third proportional to 80,465 and 112,549 is: 157,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465 : 112,549 = 112,549 : x
  2. Step 2: Convert to fraction form
    80,465/112,549 = 112,549/x
  3. Step 3: Cross multiply
    80,465x = 112,549 × 112,549
  4. Step 4: Simplify right side
    80,465x = 12,667,277,401
  5. Step 5: Solve for x
    x = 12,667,277,401/80,465
  6. Step 6: Final answer
    x = 157,425.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.