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Finding the Third Proportional to 77,788 and 117,394

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Solution

The third proportional to 77,788 and 117,394 is: 177,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788 : 117,394 = 117,394 : x
  2. Step 2: Convert to fraction form
    77,788/117,394 = 117,394/x
  3. Step 3: Cross multiply
    77,788x = 117,394 × 117,394
  4. Step 4: Simplify right side
    77,788x = 13,781,351,236
  5. Step 5: Solve for x
    x = 13,781,351,236/77,788
  6. Step 6: Final answer
    x = 177,165.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.