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Finding the Third Proportional to 67,563 and 156,391

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Solution

The third proportional to 67,563 and 156,391 is: 362,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,563 : 156,391 = 156,391 : x
  2. Step 2: Convert to fraction form
    67,563/156,391 = 156,391/x
  3. Step 3: Cross multiply
    67,563x = 156,391 × 156,391
  4. Step 4: Simplify right side
    67,563x = 24,458,144,881
  5. Step 5: Solve for x
    x = 24,458,144,881/67,563
  6. Step 6: Final answer
    x = 362,005.02

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.