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Finding the Third Proportional to 58,900 and 91,302

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Solution

The third proportional to 58,900 and 91,302 is: 141,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,900 : 91,302 = 91,302 : x
  2. Step 2: Convert to fraction form
    58,900/91,302 = 91,302/x
  3. Step 3: Cross multiply
    58,900x = 91,302 × 91,302
  4. Step 4: Simplify right side
    58,900x = 8,336,055,204
  5. Step 5: Solve for x
    x = 8,336,055,204/58,900
  6. Step 6: Final answer
    x = 141,528.95

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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.