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Finding the Third Proportional to 115,754 and 237,652

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Solution

The third proportional to 115,754 and 237,652 is: 487,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,754 : 237,652 = 237,652 : x
  2. Step 2: Convert to fraction form
    115,754/237,652 = 237,652/x
  3. Step 3: Cross multiply
    115,754x = 237,652 × 237,652
  4. Step 4: Simplify right side
    115,754x = 56,478,473,104
  5. Step 5: Solve for x
    x = 56,478,473,104/115,754
  6. Step 6: Final answer
    x = 487,918.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.