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Finding the Third Proportional to 132,159.50 and 212,797

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Solution

The third proportional to 132,159.50 and 212,797 is: 342,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,159.50 : 212,797 = 212,797 : x
  2. Step 2: Convert to fraction form
    132,159.50/212,797 = 212,797/x
  3. Step 3: Cross multiply
    132,159.50x = 212,797 × 212,797
  4. Step 4: Simplify right side
    132,159.50x = 45,282,563,209
  5. Step 5: Solve for x
    x = 45,282,563,209/132,159.50
  6. Step 6: Final answer
    x = 342,635.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.