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Finding the Third Proportional to 70,714 and 152,500

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Solution

The third proportional to 70,714 and 152,500 is: 328,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714 : 152,500 = 152,500 : x
  2. Step 2: Convert to fraction form
    70,714/152,500 = 152,500/x
  3. Step 3: Cross multiply
    70,714x = 152,500 × 152,500
  4. Step 4: Simplify right side
    70,714x = 23,256,250,000
  5. Step 5: Solve for x
    x = 23,256,250,000/70,714
  6. Step 6: Final answer
    x = 328,877.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.