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Finding the Third Proportional to 42,996.25 and 65,143.63

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Solution

The third proportional to 42,996.25 and 65,143.63 is: 98,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996.25 : 65,143.63 = 65,143.63 : x
  2. Step 2: Convert to fraction form
    42,996.25/65,143.63 = 65,143.63/x
  3. Step 3: Cross multiply
    42,996.25x = 65,143.63 × 65,143.63
  4. Step 4: Simplify right side
    42,996.25x = 4,243,691,878.14
  5. Step 5: Solve for x
    x = 4,243,691,878.14/42,996.25
  6. Step 6: Final answer
    x = 98,699.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.