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Finding the Third Proportional to 76,103 and 121,202

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Solution

The third proportional to 76,103 and 121,202 is: 193,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,103 : 121,202 = 121,202 : x
  2. Step 2: Convert to fraction form
    76,103/121,202 = 121,202/x
  3. Step 3: Cross multiply
    76,103x = 121,202 × 121,202
  4. Step 4: Simplify right side
    76,103x = 14,689,924,804
  5. Step 5: Solve for x
    x = 14,689,924,804/76,103
  6. Step 6: Final answer
    x = 193,026.88

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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.