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Finding the Third Proportional to 71,248 and 152,977

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Solution

The third proportional to 71,248 and 152,977 is: 328,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,248 : 152,977 = 152,977 : x
  2. Step 2: Convert to fraction form
    71,248/152,977 = 152,977/x
  3. Step 3: Cross multiply
    71,248x = 152,977 × 152,977
  4. Step 4: Simplify right side
    71,248x = 23,401,962,529
  5. Step 5: Solve for x
    x = 23,401,962,529/71,248
  6. Step 6: Final answer
    x = 328,457.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.