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Finding the Third Proportional to 48,184 and 91,453

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Solution

The third proportional to 48,184 and 91,453 is: 173,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,184 : 91,453 = 91,453 : x
  2. Step 2: Convert to fraction form
    48,184/91,453 = 91,453/x
  3. Step 3: Cross multiply
    48,184x = 91,453 × 91,453
  4. Step 4: Simplify right side
    48,184x = 8,363,651,209
  5. Step 5: Solve for x
    x = 8,363,651,209/48,184
  6. Step 6: Final answer
    x = 173,577.35

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.