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Finding the Third Proportional to 67,284 and 141,539.06

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Solution

The third proportional to 67,284 and 141,539.06 is: 297,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284 : 141,539.06 = 141,539.06 : x
  2. Step 2: Convert to fraction form
    67,284/141,539.06 = 141,539.06/x
  3. Step 3: Cross multiply
    67,284x = 141,539.06 × 141,539.06
  4. Step 4: Simplify right side
    67,284x = 20,033,306,213.38
  5. Step 5: Solve for x
    x = 20,033,306,213.38/67,284
  6. Step 6: Final answer
    x = 297,742.50

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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.