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Finding the Third Proportional to 89,221 and 131,365

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Solution

The third proportional to 89,221 and 131,365 is: 193,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,221 : 131,365 = 131,365 : x
  2. Step 2: Convert to fraction form
    89,221/131,365 = 131,365/x
  3. Step 3: Cross multiply
    89,221x = 131,365 × 131,365
  4. Step 4: Simplify right side
    89,221x = 17,256,763,225
  5. Step 5: Solve for x
    x = 17,256,763,225/89,221
  6. Step 6: Final answer
    x = 193,415.94

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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.