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Finding the Third Proportional to 85,141.50 and 185,019

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Solution

The third proportional to 85,141.50 and 185,019 is: 402,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,141.50 : 185,019 = 185,019 : x
  2. Step 2: Convert to fraction form
    85,141.50/185,019 = 185,019/x
  3. Step 3: Cross multiply
    85,141.50x = 185,019 × 185,019
  4. Step 4: Simplify right side
    85,141.50x = 34,232,030,361
  5. Step 5: Solve for x
    x = 34,232,030,361/85,141.50
  6. Step 6: Final answer
    x = 402,060.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.