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Finding the Third Proportional to 84,702 and 123,868.50

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Solution

The third proportional to 84,702 and 123,868.50 is: 181,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,702 : 123,868.50 = 123,868.50 : x
  2. Step 2: Convert to fraction form
    84,702/123,868.50 = 123,868.50/x
  3. Step 3: Cross multiply
    84,702x = 123,868.50 × 123,868.50
  4. Step 4: Simplify right side
    84,702x = 15,343,405,292.25
  5. Step 5: Solve for x
    x = 15,343,405,292.25/84,702
  6. Step 6: Final answer
    x = 181,145.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.