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Finding the Third Proportional to 63,504 and 89,184

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Solution

The third proportional to 63,504 and 89,184 is: 125,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,504 : 89,184 = 89,184 : x
  2. Step 2: Convert to fraction form
    63,504/89,184 = 89,184/x
  3. Step 3: Cross multiply
    63,504x = 89,184 × 89,184
  4. Step 4: Simplify right side
    63,504x = 7,953,785,856
  5. Step 5: Solve for x
    x = 7,953,785,856/63,504
  6. Step 6: Final answer
    x = 125,248.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.