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Finding the Third Proportional to 75,953 and 120,113.50

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Solution

The third proportional to 75,953 and 120,113.50 is: 189,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953 : 120,113.50 = 120,113.50 : x
  2. Step 2: Convert to fraction form
    75,953/120,113.50 = 120,113.50/x
  3. Step 3: Cross multiply
    75,953x = 120,113.50 × 120,113.50
  4. Step 4: Simplify right side
    75,953x = 14,427,252,882.25
  5. Step 5: Solve for x
    x = 14,427,252,882.25/75,953
  6. Step 6: Final answer
    x = 189,949.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.