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Finding the Third Proportional to 58,936 and 91,331

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Solution

The third proportional to 58,936 and 91,331 is: 141,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,936 : 91,331 = 91,331 : x
  2. Step 2: Convert to fraction form
    58,936/91,331 = 91,331/x
  3. Step 3: Cross multiply
    58,936x = 91,331 × 91,331
  4. Step 4: Simplify right side
    58,936x = 8,341,351,561
  5. Step 5: Solve for x
    x = 8,341,351,561/58,936
  6. Step 6: Final answer
    x = 141,532.37

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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.