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Finding the Third Proportional to 105,482 and 140,905.50

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Solution

The third proportional to 105,482 and 140,905.50 is: 188,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482 : 140,905.50 = 140,905.50 : x
  2. Step 2: Convert to fraction form
    105,482/140,905.50 = 140,905.50/x
  3. Step 3: Cross multiply
    105,482x = 140,905.50 × 140,905.50
  4. Step 4: Simplify right side
    105,482x = 19,854,359,930.25
  5. Step 5: Solve for x
    x = 19,854,359,930.25/105,482
  6. Step 6: Final answer
    x = 188,225.10

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.