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Finding the Third Proportional to 77,614 and 116,875

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Solution

The third proportional to 77,614 and 116,875 is: 175,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,614 : 116,875 = 116,875 : x
  2. Step 2: Convert to fraction form
    77,614/116,875 = 116,875/x
  3. Step 3: Cross multiply
    77,614x = 116,875 × 116,875
  4. Step 4: Simplify right side
    77,614x = 13,659,765,625
  5. Step 5: Solve for x
    x = 13,659,765,625/77,614
  6. Step 6: Final answer
    x = 175,996.16

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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.