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Finding the Third Proportional to 133,047 and 146,169

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Solution

The third proportional to 133,047 and 146,169 is: 160,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047 : 146,169 = 146,169 : x
  2. Step 2: Convert to fraction form
    133,047/146,169 = 146,169/x
  3. Step 3: Cross multiply
    133,047x = 146,169 × 146,169
  4. Step 4: Simplify right side
    133,047x = 21,365,376,561
  5. Step 5: Solve for x
    x = 21,365,376,561/133,047
  6. Step 6: Final answer
    x = 160,585.18

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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.