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Finding the Third Proportional to 57,045.50 and 124,121

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Solution

The third proportional to 57,045.50 and 124,121 is: 270,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,045.50 : 124,121 = 124,121 : x
  2. Step 2: Convert to fraction form
    57,045.50/124,121 = 124,121/x
  3. Step 3: Cross multiply
    57,045.50x = 124,121 × 124,121
  4. Step 4: Simplify right side
    57,045.50x = 15,406,022,641
  5. Step 5: Solve for x
    x = 15,406,022,641/57,045.50
  6. Step 6: Final answer
    x = 270,065.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.