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Finding the Third Proportional to 63,574.45 and 86,339.67

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Solution

The third proportional to 63,574.45 and 86,339.67 is: 117,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,574.45 : 86,339.67 = 86,339.67 : x
  2. Step 2: Convert to fraction form
    63,574.45/86,339.67 = 86,339.67/x
  3. Step 3: Cross multiply
    63,574.45x = 86,339.67 × 86,339.67
  4. Step 4: Simplify right side
    63,574.45x = 7,454,538,939.48
  5. Step 5: Solve for x
    x = 7,454,538,939.48/63,574.45
  6. Step 6: Final answer
    x = 117,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.