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Finding the Third Proportional to 77,629 and 120,237

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Solution

The third proportional to 77,629 and 120,237 is: 186,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,629 : 120,237 = 120,237 : x
  2. Step 2: Convert to fraction form
    77,629/120,237 = 120,237/x
  3. Step 3: Cross multiply
    77,629x = 120,237 × 120,237
  4. Step 4: Simplify right side
    77,629x = 14,456,936,169
  5. Step 5: Solve for x
    x = 14,456,936,169/77,629
  6. Step 6: Final answer
    x = 186,231.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.