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Finding the Third Proportional to 75,724.88 and 117,579.94

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Solution

The third proportional to 75,724.88 and 117,579.94 is: 182,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724.88 : 117,579.94 = 117,579.94 : x
  2. Step 2: Convert to fraction form
    75,724.88/117,579.94 = 117,579.94/x
  3. Step 3: Cross multiply
    75,724.88x = 117,579.94 × 117,579.94
  4. Step 4: Simplify right side
    75,724.88x = 13,825,041,702.50
  5. Step 5: Solve for x
    x = 13,825,041,702.50/75,724.88
  6. Step 6: Final answer
    x = 182,569.36

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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.