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Finding the Third Proportional to 77,392 and 116,704

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Solution

The third proportional to 77,392 and 116,704 is: 175,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392 : 116,704 = 116,704 : x
  2. Step 2: Convert to fraction form
    77,392/116,704 = 116,704/x
  3. Step 3: Cross multiply
    77,392x = 116,704 × 116,704
  4. Step 4: Simplify right side
    77,392x = 13,619,823,616
  5. Step 5: Solve for x
    x = 13,619,823,616/77,392
  6. Step 6: Final answer
    x = 175,984.90

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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.