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Finding the Third Proportional to 60,310 and 83,337

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Solution

The third proportional to 60,310 and 83,337 is: 115,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,310 : 83,337 = 83,337 : x
  2. Step 2: Convert to fraction form
    60,310/83,337 = 83,337/x
  3. Step 3: Cross multiply
    60,310x = 83,337 × 83,337
  4. Step 4: Simplify right side
    60,310x = 6,945,055,569
  5. Step 5: Solve for x
    x = 6,945,055,569/60,310
  6. Step 6: Final answer
    x = 115,155.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.