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Finding the Third Proportional to 140,060 and 188,702

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Solution

The third proportional to 140,060 and 188,702 is: 254,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,060 : 188,702 = 188,702 : x
  2. Step 2: Convert to fraction form
    140,060/188,702 = 188,702/x
  3. Step 3: Cross multiply
    140,060x = 188,702 × 188,702
  4. Step 4: Simplify right side
    140,060x = 35,608,444,804
  5. Step 5: Solve for x
    x = 35,608,444,804/140,060
  6. Step 6: Final answer
    x = 254,237.08

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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.