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Finding the Third Proportional to 75,685 and 160,596

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Solution

The third proportional to 75,685 and 160,596 is: 340,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685 : 160,596 = 160,596 : x
  2. Step 2: Convert to fraction form
    75,685/160,596 = 160,596/x
  3. Step 3: Cross multiply
    75,685x = 160,596 × 160,596
  4. Step 4: Simplify right side
    75,685x = 25,791,075,216
  5. Step 5: Solve for x
    x = 25,791,075,216/75,685
  6. Step 6: Final answer
    x = 340,768.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.