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Finding the Third Proportional to 61,816.92 and 133,475.34

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Solution

The third proportional to 61,816.92 and 133,475.34 is: 288,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,816.92 : 133,475.34 = 133,475.34 : x
  2. Step 2: Convert to fraction form
    61,816.92/133,475.34 = 133,475.34/x
  3. Step 3: Cross multiply
    61,816.92x = 133,475.34 × 133,475.34
  4. Step 4: Simplify right side
    61,816.92x = 17,815,667,389.18
  5. Step 5: Solve for x
    x = 17,815,667,389.18/61,816.92
  6. Step 6: Final answer
    x = 288,200.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.