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Finding the Third Proportional to 58,536 and 90,596

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Solution

The third proportional to 58,536 and 90,596 is: 140,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,536 : 90,596 = 90,596 : x
  2. Step 2: Convert to fraction form
    58,536/90,596 = 90,596/x
  3. Step 3: Cross multiply
    58,536x = 90,596 × 90,596
  4. Step 4: Simplify right side
    58,536x = 8,207,635,216
  5. Step 5: Solve for x
    x = 8,207,635,216/58,536
  6. Step 6: Final answer
    x = 140,215.17

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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.