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Finding the Third Proportional to 91,864 and 139,628

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Solution

The third proportional to 91,864 and 139,628 is: 212,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864 : 139,628 = 139,628 : x
  2. Step 2: Convert to fraction form
    91,864/139,628 = 139,628/x
  3. Step 3: Cross multiply
    91,864x = 139,628 × 139,628
  4. Step 4: Simplify right side
    91,864x = 19,495,978,384
  5. Step 5: Solve for x
    x = 19,495,978,384/91,864
  6. Step 6: Final answer
    x = 212,226.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.