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Finding the Third Proportional to 100,672 and 141,095

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Solution

The third proportional to 100,672 and 141,095 is: 197,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,672 : 141,095 = 141,095 : x
  2. Step 2: Convert to fraction form
    100,672/141,095 = 141,095/x
  3. Step 3: Cross multiply
    100,672x = 141,095 × 141,095
  4. Step 4: Simplify right side
    100,672x = 19,907,799,025
  5. Step 5: Solve for x
    x = 19,907,799,025/100,672
  6. Step 6: Final answer
    x = 197,749.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.