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Finding the Third Proportional to 105,118 and 141,630

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Solution

The third proportional to 105,118 and 141,630 is: 190,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,118 : 141,630 = 141,630 : x
  2. Step 2: Convert to fraction form
    105,118/141,630 = 141,630/x
  3. Step 3: Cross multiply
    105,118x = 141,630 × 141,630
  4. Step 4: Simplify right side
    105,118x = 20,059,056,900
  5. Step 5: Solve for x
    x = 20,059,056,900/105,118
  6. Step 6: Final answer
    x = 190,824.19

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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.