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Finding the Third Proportional to 58,500 and 92,934

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Solution

The third proportional to 58,500 and 92,934 is: 147,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,500 : 92,934 = 92,934 : x
  2. Step 2: Convert to fraction form
    58,500/92,934 = 92,934/x
  3. Step 3: Cross multiply
    58,500x = 92,934 × 92,934
  4. Step 4: Simplify right side
    58,500x = 8,636,728,356
  5. Step 5: Solve for x
    x = 8,636,728,356/58,500
  6. Step 6: Final answer
    x = 147,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.