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Finding the Third Proportional to 85,506 and 187,104

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Solution

The third proportional to 85,506 and 187,104 is: 409,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506 : 187,104 = 187,104 : x
  2. Step 2: Convert to fraction form
    85,506/187,104 = 187,104/x
  3. Step 3: Cross multiply
    85,506x = 187,104 × 187,104
  4. Step 4: Simplify right side
    85,506x = 35,007,906,816
  5. Step 5: Solve for x
    x = 35,007,906,816/85,506
  6. Step 6: Final answer
    x = 409,420.47

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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.