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Finding the Third Proportional to 132,176.81 and 212,776.88

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Solution

The third proportional to 132,176.81 and 212,776.88 is: 342,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,176.81 : 212,776.88 = 212,776.88 : x
  2. Step 2: Convert to fraction form
    132,176.81/212,776.88 = 212,776.88/x
  3. Step 3: Cross multiply
    132,176.81x = 212,776.88 × 212,776.88
  4. Step 4: Simplify right side
    132,176.81x = 45,273,998,534.77
  5. Step 5: Solve for x
    x = 45,273,998,534.77/132,176.81
  6. Step 6: Final answer
    x = 342,526.03

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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.