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Finding the Third Proportional to 68,534 and 109,361

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Solution

The third proportional to 68,534 and 109,361 is: 174,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534 : 109,361 = 109,361 : x
  2. Step 2: Convert to fraction form
    68,534/109,361 = 109,361/x
  3. Step 3: Cross multiply
    68,534x = 109,361 × 109,361
  4. Step 4: Simplify right side
    68,534x = 11,959,828,321
  5. Step 5: Solve for x
    x = 11,959,828,321/68,534
  6. Step 6: Final answer
    x = 174,509.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.