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Finding the Third Proportional to 65,799.42 and 105,966.56

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Solution

The third proportional to 65,799.42 and 105,966.56 is: 170,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,799.42 : 105,966.56 = 105,966.56 : x
  2. Step 2: Convert to fraction form
    65,799.42/105,966.56 = 105,966.56/x
  3. Step 3: Cross multiply
    65,799.42x = 105,966.56 × 105,966.56
  4. Step 4: Simplify right side
    65,799.42x = 11,228,912,368.07
  5. Step 5: Solve for x
    x = 11,228,912,368.07/65,799.42
  6. Step 6: Final answer
    x = 170,653.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.