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Finding the Third Proportional to 124,618.50 and 188,415

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Solution

The third proportional to 124,618.50 and 188,415 is: 284,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,618.50 : 188,415 = 188,415 : x
  2. Step 2: Convert to fraction form
    124,618.50/188,415 = 188,415/x
  3. Step 3: Cross multiply
    124,618.50x = 188,415 × 188,415
  4. Step 4: Simplify right side
    124,618.50x = 35,500,212,225
  5. Step 5: Solve for x
    x = 35,500,212,225/124,618.50
  6. Step 6: Final answer
    x = 284,871.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.