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Finding the Third Proportional to 91,731 and 145,944

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Solution

The third proportional to 91,731 and 145,944 is: 232,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,731 : 145,944 = 145,944 : x
  2. Step 2: Convert to fraction form
    91,731/145,944 = 145,944/x
  3. Step 3: Cross multiply
    91,731x = 145,944 × 145,944
  4. Step 4: Simplify right side
    91,731x = 21,299,651,136
  5. Step 5: Solve for x
    x = 21,299,651,136/91,731
  6. Step 6: Final answer
    x = 232,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.