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Finding the Third Proportional to 110,513 and 169,968

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Solution

The third proportional to 110,513 and 169,968 is: 261,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,513 : 169,968 = 169,968 : x
  2. Step 2: Convert to fraction form
    110,513/169,968 = 169,968/x
  3. Step 3: Cross multiply
    110,513x = 169,968 × 169,968
  4. Step 4: Simplify right side
    110,513x = 28,889,121,024
  5. Step 5: Solve for x
    x = 28,889,121,024/110,513
  6. Step 6: Final answer
    x = 261,409.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.