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Finding the Third Proportional to 52,501.50 and 123,411.09

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Solution

The third proportional to 52,501.50 and 123,411.09 is: 290,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501.50 : 123,411.09 = 123,411.09 : x
  2. Step 2: Convert to fraction form
    52,501.50/123,411.09 = 123,411.09/x
  3. Step 3: Cross multiply
    52,501.50x = 123,411.09 × 123,411.09
  4. Step 4: Simplify right side
    52,501.50x = 15,230,298,060.57
  5. Step 5: Solve for x
    x = 15,230,298,060.57/52,501.50
  6. Step 6: Final answer
    x = 290,092.63

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.