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Finding the Third Proportional to 70,500.38 and 144,439.88

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Solution

The third proportional to 70,500.38 and 144,439.88 is: 295,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,500.38 : 144,439.88 = 144,439.88 : x
  2. Step 2: Convert to fraction form
    70,500.38/144,439.88 = 144,439.88/x
  3. Step 3: Cross multiply
    70,500.38x = 144,439.88 × 144,439.88
  4. Step 4: Simplify right side
    70,500.38x = 20,862,877,490.02
  5. Step 5: Solve for x
    x = 20,862,877,490.02/70,500.38
  6. Step 6: Final answer
    x = 295,925.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.