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Finding the Third Proportional to 97,429 and 146,156

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Solution

The third proportional to 97,429 and 146,156 is: 219,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,429 : 146,156 = 146,156 : x
  2. Step 2: Convert to fraction form
    97,429/146,156 = 146,156/x
  3. Step 3: Cross multiply
    97,429x = 146,156 × 146,156
  4. Step 4: Simplify right side
    97,429x = 21,361,576,336
  5. Step 5: Solve for x
    x = 21,361,576,336/97,429
  6. Step 6: Final answer
    x = 219,252.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.