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Finding the Third Proportional to 67,262.25 and 141,495

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Solution

The third proportional to 67,262.25 and 141,495 is: 297,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,262.25 : 141,495 = 141,495 : x
  2. Step 2: Convert to fraction form
    67,262.25/141,495 = 141,495/x
  3. Step 3: Cross multiply
    67,262.25x = 141,495 × 141,495
  4. Step 4: Simplify right side
    67,262.25x = 20,020,835,025
  5. Step 5: Solve for x
    x = 20,020,835,025/67,262.25
  6. Step 6: Final answer
    x = 297,653.36

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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.