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Finding the Third Proportional to 115,242 and 174,479

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Solution

The third proportional to 115,242 and 174,479 is: 264,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,242 : 174,479 = 174,479 : x
  2. Step 2: Convert to fraction form
    115,242/174,479 = 174,479/x
  3. Step 3: Cross multiply
    115,242x = 174,479 × 174,479
  4. Step 4: Simplify right side
    115,242x = 30,442,921,441
  5. Step 5: Solve for x
    x = 30,442,921,441/115,242
  6. Step 6: Final answer
    x = 264,165.16

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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.