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Finding the Third Proportional to 102,789 and 140,033.81

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Solution

The third proportional to 102,789 and 140,033.81 is: 190,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,789 : 140,033.81 = 140,033.81 : x
  2. Step 2: Convert to fraction form
    102,789/140,033.81 = 140,033.81/x
  3. Step 3: Cross multiply
    102,789x = 140,033.81 × 140,033.81
  4. Step 4: Simplify right side
    102,789x = 19,609,468,643.29
  5. Step 5: Solve for x
    x = 19,609,468,643.29/102,789
  6. Step 6: Final answer
    x = 190,774.00

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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.