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Finding the Third Proportional to 91,686 and 145,893

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Solution

The third proportional to 91,686 and 145,893 is: 232,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,686 : 145,893 = 145,893 : x
  2. Step 2: Convert to fraction form
    91,686/145,893 = 145,893/x
  3. Step 3: Cross multiply
    91,686x = 145,893 × 145,893
  4. Step 4: Simplify right side
    91,686x = 21,284,767,449
  5. Step 5: Solve for x
    x = 21,284,767,449/91,686
  6. Step 6: Final answer
    x = 232,148.50

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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.