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Finding the Third Proportional to 97,429 and 146,157

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Solution

The third proportional to 97,429 and 146,157 is: 219,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,429 : 146,157 = 146,157 : x
  2. Step 2: Convert to fraction form
    97,429/146,157 = 146,157/x
  3. Step 3: Cross multiply
    97,429x = 146,157 × 146,157
  4. Step 4: Simplify right side
    97,429x = 21,361,868,649
  5. Step 5: Solve for x
    x = 21,361,868,649/97,429
  6. Step 6: Final answer
    x = 219,255.75

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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.