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Finding the Third Proportional to 48,357 and 68,097

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Solution

The third proportional to 48,357 and 68,097 is: 95,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,357 : 68,097 = 68,097 : x
  2. Step 2: Convert to fraction form
    48,357/68,097 = 68,097/x
  3. Step 3: Cross multiply
    48,357x = 68,097 × 68,097
  4. Step 4: Simplify right side
    48,357x = 4,637,201,409
  5. Step 5: Solve for x
    x = 4,637,201,409/48,357
  6. Step 6: Final answer
    x = 95,895.14

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Why These Related Problems?

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