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Finding the Third Proportional to 60,453 and 85,954.50

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Solution

The third proportional to 60,453 and 85,954.50 is: 122,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,453 : 85,954.50 = 85,954.50 : x
  2. Step 2: Convert to fraction form
    60,453/85,954.50 = 85,954.50/x
  3. Step 3: Cross multiply
    60,453x = 85,954.50 × 85,954.50
  4. Step 4: Simplify right side
    60,453x = 7,388,176,070.25
  5. Step 5: Solve for x
    x = 7,388,176,070.25/60,453
  6. Step 6: Final answer
    x = 122,213.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.