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Finding the Third Proportional to 52,537.25 and 114,005.25

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Solution

The third proportional to 52,537.25 and 114,005.25 is: 247,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537.25 : 114,005.25 = 114,005.25 : x
  2. Step 2: Convert to fraction form
    52,537.25/114,005.25 = 114,005.25/x
  3. Step 3: Cross multiply
    52,537.25x = 114,005.25 × 114,005.25
  4. Step 4: Simplify right side
    52,537.25x = 12,997,197,027.56
  5. Step 5: Solve for x
    x = 12,997,197,027.56/52,537.25
  6. Step 6: Final answer
    x = 247,390.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.