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Finding the Third Proportional to 85,455 and 187,020

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Solution

The third proportional to 85,455 and 187,020 is: 409,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455 : 187,020 = 187,020 : x
  2. Step 2: Convert to fraction form
    85,455/187,020 = 187,020/x
  3. Step 3: Cross multiply
    85,455x = 187,020 × 187,020
  4. Step 4: Simplify right side
    85,455x = 34,976,480,400
  5. Step 5: Solve for x
    x = 34,976,480,400/85,455
  6. Step 6: Final answer
    x = 409,297.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.