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Finding the Third Proportional to 67,305 and 141,582

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Solution

The third proportional to 67,305 and 141,582 is: 297,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,305 : 141,582 = 141,582 : x
  2. Step 2: Convert to fraction form
    67,305/141,582 = 141,582/x
  3. Step 3: Cross multiply
    67,305x = 141,582 × 141,582
  4. Step 4: Simplify right side
    67,305x = 20,045,462,724
  5. Step 5: Solve for x
    x = 20,045,462,724/67,305
  6. Step 6: Final answer
    x = 297,830.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.