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Finding the Third Proportional to 52,507.50 and 115,221

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Solution

The third proportional to 52,507.50 and 115,221 is: 252,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.50 : 115,221 = 115,221 : x
  2. Step 2: Convert to fraction form
    52,507.50/115,221 = 115,221/x
  3. Step 3: Cross multiply
    52,507.50x = 115,221 × 115,221
  4. Step 4: Simplify right side
    52,507.50x = 13,275,878,841
  5. Step 5: Solve for x
    x = 13,275,878,841/52,507.50
  6. Step 6: Final answer
    x = 252,837.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.