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Finding the Third Proportional to 115,715 and 175,024

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Solution

The third proportional to 115,715 and 175,024 is: 264,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,715 : 175,024 = 175,024 : x
  2. Step 2: Convert to fraction form
    115,715/175,024 = 175,024/x
  3. Step 3: Cross multiply
    115,715x = 175,024 × 175,024
  4. Step 4: Simplify right side
    115,715x = 30,633,400,576
  5. Step 5: Solve for x
    x = 30,633,400,576/115,715
  6. Step 6: Final answer
    x = 264,731.46

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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.