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Finding the Third Proportional to 99,714 and 148,011

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Solution

The third proportional to 99,714 and 148,011 is: 219,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,714 : 148,011 = 148,011 : x
  2. Step 2: Convert to fraction form
    99,714/148,011 = 148,011/x
  3. Step 3: Cross multiply
    99,714x = 148,011 × 148,011
  4. Step 4: Simplify right side
    99,714x = 21,907,256,121
  5. Step 5: Solve for x
    x = 21,907,256,121/99,714
  6. Step 6: Final answer
    x = 219,700.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.