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Finding the Third Proportional to 96,438 and 139,293

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Solution

The third proportional to 96,438 and 139,293 is: 201,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,438 : 139,293 = 139,293 : x
  2. Step 2: Convert to fraction form
    96,438/139,293 = 139,293/x
  3. Step 3: Cross multiply
    96,438x = 139,293 × 139,293
  4. Step 4: Simplify right side
    96,438x = 19,402,539,849
  5. Step 5: Solve for x
    x = 19,402,539,849/96,438
  6. Step 6: Final answer
    x = 201,191.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.