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Finding the Third Proportional to 67,798 and 102,573

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Solution

The third proportional to 67,798 and 102,573 is: 155,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,798 : 102,573 = 102,573 : x
  2. Step 2: Convert to fraction form
    67,798/102,573 = 102,573/x
  3. Step 3: Cross multiply
    67,798x = 102,573 × 102,573
  4. Step 4: Simplify right side
    67,798x = 10,521,220,329
  5. Step 5: Solve for x
    x = 10,521,220,329/67,798
  6. Step 6: Final answer
    x = 155,184.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.