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Finding the Third Proportional to 67,857 and 102,528

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Solution

The third proportional to 67,857 and 102,528 is: 154,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857 : 102,528 = 102,528 : x
  2. Step 2: Convert to fraction form
    67,857/102,528 = 102,528/x
  3. Step 3: Cross multiply
    67,857x = 102,528 × 102,528
  4. Step 4: Simplify right side
    67,857x = 10,511,990,784
  5. Step 5: Solve for x
    x = 10,511,990,784/67,857
  6. Step 6: Final answer
    x = 154,913.87

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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.