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Finding the Third Proportional to 59,337 and 91,623

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Solution

The third proportional to 59,337 and 91,623 is: 141,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,337 : 91,623 = 91,623 : x
  2. Step 2: Convert to fraction form
    59,337/91,623 = 91,623/x
  3. Step 3: Cross multiply
    59,337x = 91,623 × 91,623
  4. Step 4: Simplify right side
    59,337x = 8,394,774,129
  5. Step 5: Solve for x
    x = 8,394,774,129/59,337
  6. Step 6: Final answer
    x = 141,476.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.