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Finding the Third Proportional to 77,116.13 and 105,057.38

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Solution

The third proportional to 77,116.13 and 105,057.38 is: 143,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116.13 : 105,057.38 = 105,057.38 : x
  2. Step 2: Convert to fraction form
    77,116.13/105,057.38 = 105,057.38/x
  3. Step 3: Cross multiply
    77,116.13x = 105,057.38 × 105,057.38
  4. Step 4: Simplify right side
    77,116.13x = 11,037,052,041.89
  5. Step 5: Solve for x
    x = 11,037,052,041.89/77,116.13
  6. Step 6: Final answer
    x = 143,122.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.