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Finding the Third Proportional to 61,885 and 149,032

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Solution

The third proportional to 61,885 and 149,032 is: 358,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,885 : 149,032 = 149,032 : x
  2. Step 2: Convert to fraction form
    61,885/149,032 = 149,032/x
  3. Step 3: Cross multiply
    61,885x = 149,032 × 149,032
  4. Step 4: Simplify right side
    61,885x = 22,210,537,024
  5. Step 5: Solve for x
    x = 22,210,537,024/61,885
  6. Step 6: Final answer
    x = 358,900.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.