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Finding the Third Proportional to 98,714 and 144,385

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Solution

The third proportional to 98,714 and 144,385 is: 211,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714 : 144,385 = 144,385 : x
  2. Step 2: Convert to fraction form
    98,714/144,385 = 144,385/x
  3. Step 3: Cross multiply
    98,714x = 144,385 × 144,385
  4. Step 4: Simplify right side
    98,714x = 20,847,028,225
  5. Step 5: Solve for x
    x = 20,847,028,225/98,714
  6. Step 6: Final answer
    x = 211,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.