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Finding the Third Proportional to 68,528 and 109,560

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Solution

The third proportional to 68,528 and 109,560 is: 175,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528 : 109,560 = 109,560 : x
  2. Step 2: Convert to fraction form
    68,528/109,560 = 109,560/x
  3. Step 3: Cross multiply
    68,528x = 109,560 × 109,560
  4. Step 4: Simplify right side
    68,528x = 12,003,393,600
  5. Step 5: Solve for x
    x = 12,003,393,600/68,528
  6. Step 6: Final answer
    x = 175,160.42

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