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Finding the Third Proportional to 92,853 and 120,811.50

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Solution

The third proportional to 92,853 and 120,811.50 is: 157,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,853 : 120,811.50 = 120,811.50 : x
  2. Step 2: Convert to fraction form
    92,853/120,811.50 = 120,811.50/x
  3. Step 3: Cross multiply
    92,853x = 120,811.50 × 120,811.50
  4. Step 4: Simplify right side
    92,853x = 14,595,418,532.25
  5. Step 5: Solve for x
    x = 14,595,418,532.25/92,853
  6. Step 6: Final answer
    x = 157,188.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.