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Finding the Third Proportional to 42,012 and 64,118.25

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Solution

The third proportional to 42,012 and 64,118.25 is: 97,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012 : 64,118.25 = 64,118.25 : x
  2. Step 2: Convert to fraction form
    42,012/64,118.25 = 64,118.25/x
  3. Step 3: Cross multiply
    42,012x = 64,118.25 × 64,118.25
  4. Step 4: Simplify right side
    42,012x = 4,111,149,983.06
  5. Step 5: Solve for x
    x = 4,111,149,983.06/42,012
  6. Step 6: Final answer
    x = 97,856.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.