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Finding the Third Proportional to 49,298.63 and 77,251.22

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Solution

The third proportional to 49,298.63 and 77,251.22 is: 121,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,298.63 : 77,251.22 = 77,251.22 : x
  2. Step 2: Convert to fraction form
    49,298.63/77,251.22 = 77,251.22/x
  3. Step 3: Cross multiply
    49,298.63x = 77,251.22 × 77,251.22
  4. Step 4: Simplify right side
    49,298.63x = 5,967,750,798.36
  5. Step 5: Solve for x
    x = 5,967,750,798.36/49,298.63
  6. Step 6: Final answer
    x = 121,053.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.