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Finding the Third Proportional to 94,830.75 and 142,003.13

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Solution

The third proportional to 94,830.75 and 142,003.13 is: 212,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,830.75 : 142,003.13 = 142,003.13 : x
  2. Step 2: Convert to fraction form
    94,830.75/142,003.13 = 142,003.13/x
  3. Step 3: Cross multiply
    94,830.75x = 142,003.13 × 142,003.13
  4. Step 4: Simplify right side
    94,830.75x = 20,164,887,509.77
  5. Step 5: Solve for x
    x = 20,164,887,509.77/94,830.75
  6. Step 6: Final answer
    x = 212,640.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.