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Finding the Third Proportional to 85,722.50 and 185,539

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Solution

The third proportional to 85,722.50 and 185,539 is: 401,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,722.50 : 185,539 = 185,539 : x
  2. Step 2: Convert to fraction form
    85,722.50/185,539 = 185,539/x
  3. Step 3: Cross multiply
    85,722.50x = 185,539 × 185,539
  4. Step 4: Simplify right side
    85,722.50x = 34,424,720,521
  5. Step 5: Solve for x
    x = 34,424,720,521/85,722.50
  6. Step 6: Final answer
    x = 401,583.25

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Why These Related Problems?

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