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Finding the Third Proportional to 70,700.34 and 148,671.70

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Solution

The third proportional to 70,700.34 and 148,671.70 is: 312,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700.34 : 148,671.70 = 148,671.70 : x
  2. Step 2: Convert to fraction form
    70,700.34/148,671.70 = 148,671.70/x
  3. Step 3: Cross multiply
    70,700.34x = 148,671.70 × 148,671.70
  4. Step 4: Simplify right side
    70,700.34x = 22,103,275,310.09
  5. Step 5: Solve for x
    x = 22,103,275,310.09/70,700.34
  6. Step 6: Final answer
    x = 312,633.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.