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Finding the Third Proportional to 39,091 and 76,237

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Solution

The third proportional to 39,091 and 76,237 is: 148,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,091 : 76,237 = 76,237 : x
  2. Step 2: Convert to fraction form
    39,091/76,237 = 76,237/x
  3. Step 3: Cross multiply
    39,091x = 76,237 × 76,237
  4. Step 4: Simplify right side
    39,091x = 5,812,080,169
  5. Step 5: Solve for x
    x = 5,812,080,169/39,091
  6. Step 6: Final answer
    x = 148,680.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.