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Finding the Third Proportional to 66,594 and 146,061

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Solution

The third proportional to 66,594 and 146,061 is: 320,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,594 : 146,061 = 146,061 : x
  2. Step 2: Convert to fraction form
    66,594/146,061 = 146,061/x
  3. Step 3: Cross multiply
    66,594x = 146,061 × 146,061
  4. Step 4: Simplify right side
    66,594x = 21,333,815,721
  5. Step 5: Solve for x
    x = 21,333,815,721/66,594
  6. Step 6: Final answer
    x = 320,356.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.