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Finding the Third Proportional to 63,250 and 94,844

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Solution

The third proportional to 63,250 and 94,844 is: 142,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,250 : 94,844 = 94,844 : x
  2. Step 2: Convert to fraction form
    63,250/94,844 = 94,844/x
  3. Step 3: Cross multiply
    63,250x = 94,844 × 94,844
  4. Step 4: Simplify right side
    63,250x = 8,995,384,336
  5. Step 5: Solve for x
    x = 8,995,384,336/63,250
  6. Step 6: Final answer
    x = 142,219.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.