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Finding the Third Proportional to 61,205 and 129,758

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Solution

The third proportional to 61,205 and 129,758 is: 275,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205 : 129,758 = 129,758 : x
  2. Step 2: Convert to fraction form
    61,205/129,758 = 129,758/x
  3. Step 3: Cross multiply
    61,205x = 129,758 × 129,758
  4. Step 4: Simplify right side
    61,205x = 16,837,138,564
  5. Step 5: Solve for x
    x = 16,837,138,564/61,205
  6. Step 6: Final answer
    x = 275,094.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.