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Finding the Third Proportional to 76,102 and 121,200

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Solution

The third proportional to 76,102 and 121,200 is: 193,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102 : 121,200 = 121,200 : x
  2. Step 2: Convert to fraction form
    76,102/121,200 = 121,200/x
  3. Step 3: Cross multiply
    76,102x = 121,200 × 121,200
  4. Step 4: Simplify right side
    76,102x = 14,689,440,000
  5. Step 5: Solve for x
    x = 14,689,440,000/76,102
  6. Step 6: Final answer
    x = 193,023.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.