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Finding the Third Proportional to 142,078 and 212,144.50

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Solution

The third proportional to 142,078 and 212,144.50 is: 316,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,078 : 212,144.50 = 212,144.50 : x
  2. Step 2: Convert to fraction form
    142,078/212,144.50 = 212,144.50/x
  3. Step 3: Cross multiply
    142,078x = 212,144.50 × 212,144.50
  4. Step 4: Simplify right side
    142,078x = 45,005,288,880.25
  5. Step 5: Solve for x
    x = 45,005,288,880.25/142,078
  6. Step 6: Final answer
    x = 316,764.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.