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Finding the Third Proportional to 84,699 and 123,869.25

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Solution

The third proportional to 84,699 and 123,869.25 is: 181,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,699 : 123,869.25 = 123,869.25 : x
  2. Step 2: Convert to fraction form
    84,699/123,869.25 = 123,869.25/x
  3. Step 3: Cross multiply
    84,699x = 123,869.25 × 123,869.25
  4. Step 4: Simplify right side
    84,699x = 15,343,591,095.56
  5. Step 5: Solve for x
    x = 15,343,591,095.56/84,699
  6. Step 6: Final answer
    x = 181,154.34

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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.