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Finding the Third Proportional to 59,518 and 92,233

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Solution

The third proportional to 59,518 and 92,233 is: 142,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,518 : 92,233 = 92,233 : x
  2. Step 2: Convert to fraction form
    59,518/92,233 = 92,233/x
  3. Step 3: Cross multiply
    59,518x = 92,233 × 92,233
  4. Step 4: Simplify right side
    59,518x = 8,506,926,289
  5. Step 5: Solve for x
    x = 8,506,926,289/59,518
  6. Step 6: Final answer
    x = 142,930.31

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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.