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Finding the Third Proportional to 57,356 and 84,153

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Solution

The third proportional to 57,356 and 84,153 is: 123,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,356 : 84,153 = 84,153 : x
  2. Step 2: Convert to fraction form
    57,356/84,153 = 84,153/x
  3. Step 3: Cross multiply
    57,356x = 84,153 × 84,153
  4. Step 4: Simplify right side
    57,356x = 7,081,727,409
  5. Step 5: Solve for x
    x = 7,081,727,409/57,356
  6. Step 6: Final answer
    x = 123,469.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.