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Finding the Third Proportional to 115,709 and 174,797

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Solution

The third proportional to 115,709 and 174,797 is: 264,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,709 : 174,797 = 174,797 : x
  2. Step 2: Convert to fraction form
    115,709/174,797 = 174,797/x
  3. Step 3: Cross multiply
    115,709x = 174,797 × 174,797
  4. Step 4: Simplify right side
    115,709x = 30,553,991,209
  5. Step 5: Solve for x
    x = 30,553,991,209/115,709
  6. Step 6: Final answer
    x = 264,058.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.