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Finding the Third Proportional to 63,129 and 146,160

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Solution

The third proportional to 63,129 and 146,160 is: 338,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,129 : 146,160 = 146,160 : x
  2. Step 2: Convert to fraction form
    63,129/146,160 = 146,160/x
  3. Step 3: Cross multiply
    63,129x = 146,160 × 146,160
  4. Step 4: Simplify right side
    63,129x = 21,362,745,600
  5. Step 5: Solve for x
    x = 21,362,745,600/63,129
  6. Step 6: Final answer
    x = 338,398.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.