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Finding the Third Proportional to 57,530.25 and 124,416

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Solution

The third proportional to 57,530.25 and 124,416 is: 269,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,530.25 : 124,416 = 124,416 : x
  2. Step 2: Convert to fraction form
    57,530.25/124,416 = 124,416/x
  3. Step 3: Cross multiply
    57,530.25x = 124,416 × 124,416
  4. Step 4: Simplify right side
    57,530.25x = 15,479,341,056
  5. Step 5: Solve for x
    x = 15,479,341,056/57,530.25
  6. Step 6: Final answer
    x = 269,064.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.