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Finding the Third Proportional to 61,069 and 134,562

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Solution

The third proportional to 61,069 and 134,562 is: 296,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,069 : 134,562 = 134,562 : x
  2. Step 2: Convert to fraction form
    61,069/134,562 = 134,562/x
  3. Step 3: Cross multiply
    61,069x = 134,562 × 134,562
  4. Step 4: Simplify right side
    61,069x = 18,106,931,844
  5. Step 5: Solve for x
    x = 18,106,931,844/61,069
  6. Step 6: Final answer
    x = 296,499.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.