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Finding the Third Proportional to 95,297.71 and 139,763.65

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Solution

The third proportional to 95,297.71 and 139,763.65 is: 204,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,297.71 : 139,763.65 = 139,763.65 : x
  2. Step 2: Convert to fraction form
    95,297.71/139,763.65 = 139,763.65/x
  3. Step 3: Cross multiply
    95,297.71x = 139,763.65 × 139,763.65
  4. Step 4: Simplify right side
    95,297.71x = 19,533,879,062.42
  5. Step 5: Solve for x
    x = 19,533,879,062.42/95,297.71
  6. Step 6: Final answer
    x = 204,977.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.