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Finding the Third Proportional to 84,663 and 123,990.75

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Solution

The third proportional to 84,663 and 123,990.75 is: 181,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,663 : 123,990.75 = 123,990.75 : x
  2. Step 2: Convert to fraction form
    84,663/123,990.75 = 123,990.75/x
  3. Step 3: Cross multiply
    84,663x = 123,990.75 × 123,990.75
  4. Step 4: Simplify right side
    84,663x = 15,373,706,085.56
  5. Step 5: Solve for x
    x = 15,373,706,085.56/84,663
  6. Step 6: Final answer
    x = 181,587.07

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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.