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Finding the Third Proportional to 99,297 and 138,900

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Solution

The third proportional to 99,297 and 138,900 is: 194,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,297 : 138,900 = 138,900 : x
  2. Step 2: Convert to fraction form
    99,297/138,900 = 138,900/x
  3. Step 3: Cross multiply
    99,297x = 138,900 × 138,900
  4. Step 4: Simplify right side
    99,297x = 19,293,210,000
  5. Step 5: Solve for x
    x = 19,293,210,000/99,297
  6. Step 6: Final answer
    x = 194,298.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.