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Finding the Third Proportional to 71,297 and 153,123

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Solution

The third proportional to 71,297 and 153,123 is: 328,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,297 : 153,123 = 153,123 : x
  2. Step 2: Convert to fraction form
    71,297/153,123 = 153,123/x
  3. Step 3: Cross multiply
    71,297x = 153,123 × 153,123
  4. Step 4: Simplify right side
    71,297x = 23,446,653,129
  5. Step 5: Solve for x
    x = 23,446,653,129/71,297
  6. Step 6: Final answer
    x = 328,858.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.