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Finding the Third Proportional to 99,234 and 141,471

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Solution

The third proportional to 99,234 and 141,471 is: 201,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,234 : 141,471 = 141,471 : x
  2. Step 2: Convert to fraction form
    99,234/141,471 = 141,471/x
  3. Step 3: Cross multiply
    99,234x = 141,471 × 141,471
  4. Step 4: Simplify right side
    99,234x = 20,014,043,841
  5. Step 5: Solve for x
    x = 20,014,043,841/99,234
  6. Step 6: Final answer
    x = 201,685.35

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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.