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Finding the Third Proportional to 67,319 and 141,602

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Solution

The third proportional to 67,319 and 141,602 is: 297,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,319 : 141,602 = 141,602 : x
  2. Step 2: Convert to fraction form
    67,319/141,602 = 141,602/x
  3. Step 3: Cross multiply
    67,319x = 141,602 × 141,602
  4. Step 4: Simplify right side
    67,319x = 20,051,126,404
  5. Step 5: Solve for x
    x = 20,051,126,404/67,319
  6. Step 6: Final answer
    x = 297,852.41

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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.