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Finding the Third Proportional to 115,037 and 248,539

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Solution

The third proportional to 115,037 and 248,539 is: 536,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,037 : 248,539 = 248,539 : x
  2. Step 2: Convert to fraction form
    115,037/248,539 = 248,539/x
  3. Step 3: Cross multiply
    115,037x = 248,539 × 248,539
  4. Step 4: Simplify right side
    115,037x = 61,771,634,521
  5. Step 5: Solve for x
    x = 61,771,634,521/115,037
  6. Step 6: Final answer
    x = 536,971.88

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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.