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Finding the Third Proportional to 97,826 and 139,923

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Solution

The third proportional to 97,826 and 139,923 is: 200,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,826 : 139,923 = 139,923 : x
  2. Step 2: Convert to fraction form
    97,826/139,923 = 139,923/x
  3. Step 3: Cross multiply
    97,826x = 139,923 × 139,923
  4. Step 4: Simplify right side
    97,826x = 19,578,445,929
  5. Step 5: Solve for x
    x = 19,578,445,929/97,826
  6. Step 6: Final answer
    x = 200,135.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.