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Finding the Third Proportional to 105,796.13 and 143,521.88

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Solution

The third proportional to 105,796.13 and 143,521.88 is: 194,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,796.13 : 143,521.88 = 143,521.88 : x
  2. Step 2: Convert to fraction form
    105,796.13/143,521.88 = 143,521.88/x
  3. Step 3: Cross multiply
    105,796.13x = 143,521.88 × 143,521.88
  4. Step 4: Simplify right side
    105,796.13x = 20,598,528,603.52
  5. Step 5: Solve for x
    x = 20,598,528,603.52/105,796.13
  6. Step 6: Final answer
    x = 194,700.22

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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.