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Finding the Third Proportional to 91,835 and 140,471

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Solution

The third proportional to 91,835 and 140,471 is: 214,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,835 : 140,471 = 140,471 : x
  2. Step 2: Convert to fraction form
    91,835/140,471 = 140,471/x
  3. Step 3: Cross multiply
    91,835x = 140,471 × 140,471
  4. Step 4: Simplify right side
    91,835x = 19,732,101,841
  5. Step 5: Solve for x
    x = 19,732,101,841/91,835
  6. Step 6: Final answer
    x = 214,864.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.