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Finding the Third Proportional to 105,356 and 141,918

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Solution

The third proportional to 105,356 and 141,918 is: 191,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,356 : 141,918 = 141,918 : x
  2. Step 2: Convert to fraction form
    105,356/141,918 = 141,918/x
  3. Step 3: Cross multiply
    105,356x = 141,918 × 141,918
  4. Step 4: Simplify right side
    105,356x = 20,140,718,724
  5. Step 5: Solve for x
    x = 20,140,718,724/105,356
  6. Step 6: Final answer
    x = 191,168.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.