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Finding the Third Proportional to 52,125.64 and 113,809.35

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Solution

The third proportional to 52,125.64 and 113,809.35 is: 248,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.64 : 113,809.35 = 113,809.35 : x
  2. Step 2: Convert to fraction form
    52,125.64/113,809.35 = 113,809.35/x
  3. Step 3: Cross multiply
    52,125.64x = 113,809.35 × 113,809.35
  4. Step 4: Simplify right side
    52,125.64x = 12,952,568,280.79
  5. Step 5: Solve for x
    x = 12,952,568,280.79/52,125.64
  6. Step 6: Final answer
    x = 248,487.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.