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Finding the Third Proportional to 61,082.23 and 142,718.84

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Solution

The third proportional to 61,082.23 and 142,718.84 is: 333,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,082.23 : 142,718.84 = 142,718.84 : x
  2. Step 2: Convert to fraction form
    61,082.23/142,718.84 = 142,718.84/x
  3. Step 3: Cross multiply
    61,082.23x = 142,718.84 × 142,718.84
  4. Step 4: Simplify right side
    61,082.23x = 20,368,666,131.36
  5. Step 5: Solve for x
    x = 20,368,666,131.36/61,082.23
  6. Step 6: Final answer
    x = 333,463.06

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.