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Finding the Third Proportional to 105,853.50 and 141,117.75

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Solution

The third proportional to 105,853.50 and 141,117.75 is: 188,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,853.50 : 141,117.75 = 141,117.75 : x
  2. Step 2: Convert to fraction form
    105,853.50/141,117.75 = 141,117.75/x
  3. Step 3: Cross multiply
    105,853.50x = 141,117.75 × 141,117.75
  4. Step 4: Simplify right side
    105,853.50x = 19,914,219,365.06
  5. Step 5: Solve for x
    x = 19,914,219,365.06/105,853.50
  6. Step 6: Final answer
    x = 188,130.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.