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Finding the Third Proportional to 61,809 and 134,633

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Solution

The third proportional to 61,809 and 134,633 is: 293,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,809 : 134,633 = 134,633 : x
  2. Step 2: Convert to fraction form
    61,809/134,633 = 134,633/x
  3. Step 3: Cross multiply
    61,809x = 134,633 × 134,633
  4. Step 4: Simplify right side
    61,809x = 18,126,044,689
  5. Step 5: Solve for x
    x = 18,126,044,689/61,809
  6. Step 6: Final answer
    x = 293,258.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.