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Finding the Third Proportional to 133,029 and 146,151

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Solution

The third proportional to 133,029 and 146,151 is: 160,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029 : 146,151 = 146,151 : x
  2. Step 2: Convert to fraction form
    133,029/146,151 = 146,151/x
  3. Step 3: Cross multiply
    133,029x = 146,151 × 146,151
  4. Step 4: Simplify right side
    133,029x = 21,360,114,801
  5. Step 5: Solve for x
    x = 21,360,114,801/133,029
  6. Step 6: Final answer
    x = 160,567.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.