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Finding the Third Proportional to 61,603 and 146,169

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Solution

The third proportional to 61,603 and 146,169 is: 346,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603 : 146,169 = 146,169 : x
  2. Step 2: Convert to fraction form
    61,603/146,169 = 146,169/x
  3. Step 3: Cross multiply
    61,603x = 146,169 × 146,169
  4. Step 4: Simplify right side
    61,603x = 21,365,376,561
  5. Step 5: Solve for x
    x = 21,365,376,561/61,603
  6. Step 6: Final answer
    x = 346,823.64

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.