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Finding the Third Proportional to 107,076 and 229,318

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Solution

The third proportional to 107,076 and 229,318 is: 491,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076 : 229,318 = 229,318 : x
  2. Step 2: Convert to fraction form
    107,076/229,318 = 229,318/x
  3. Step 3: Cross multiply
    107,076x = 229,318 × 229,318
  4. Step 4: Simplify right side
    107,076x = 52,586,745,124
  5. Step 5: Solve for x
    x = 52,586,745,124/107,076
  6. Step 6: Final answer
    x = 491,116.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.