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Finding the Third Proportional to 43,677 and 93,585

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Solution

The third proportional to 43,677 and 93,585 is: 200,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,677 : 93,585 = 93,585 : x
  2. Step 2: Convert to fraction form
    43,677/93,585 = 93,585/x
  3. Step 3: Cross multiply
    43,677x = 93,585 × 93,585
  4. Step 4: Simplify right side
    43,677x = 8,758,152,225
  5. Step 5: Solve for x
    x = 8,758,152,225/43,677
  6. Step 6: Final answer
    x = 200,520.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.