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Finding the Third Proportional to 67,913 and 92,231.50

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Solution

The third proportional to 67,913 and 92,231.50 is: 125,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,913 : 92,231.50 = 92,231.50 : x
  2. Step 2: Convert to fraction form
    67,913/92,231.50 = 92,231.50/x
  3. Step 3: Cross multiply
    67,913x = 92,231.50 × 92,231.50
  4. Step 4: Simplify right side
    67,913x = 8,506,649,592.25
  5. Step 5: Solve for x
    x = 8,506,649,592.25/67,913
  6. Step 6: Final answer
    x = 125,258.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.