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Finding the Third Proportional to 59,254 and 83,337

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Solution

The third proportional to 59,254 and 83,337 is: 117,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,254 : 83,337 = 83,337 : x
  2. Step 2: Convert to fraction form
    59,254/83,337 = 83,337/x
  3. Step 3: Cross multiply
    59,254x = 83,337 × 83,337
  4. Step 4: Simplify right side
    59,254x = 6,945,055,569
  5. Step 5: Solve for x
    x = 6,945,055,569/59,254
  6. Step 6: Final answer
    x = 117,208.21

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.