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Finding the Third Proportional to 77,577.75 and 116,837.44

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Solution

The third proportional to 77,577.75 and 116,837.44 is: 175,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,577.75 : 116,837.44 = 116,837.44 : x
  2. Step 2: Convert to fraction form
    77,577.75/116,837.44 = 116,837.44/x
  3. Step 3: Cross multiply
    77,577.75x = 116,837.44 × 116,837.44
  4. Step 4: Simplify right side
    77,577.75x = 13,650,986,801.57
  5. Step 5: Solve for x
    x = 13,650,986,801.57/77,577.75
  6. Step 6: Final answer
    x = 175,965.23

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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.