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Finding the Third Proportional to 61,765 and 134,682

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Solution

The third proportional to 61,765 and 134,682 is: 293,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,765 : 134,682 = 134,682 : x
  2. Step 2: Convert to fraction form
    61,765/134,682 = 134,682/x
  3. Step 3: Cross multiply
    61,765x = 134,682 × 134,682
  4. Step 4: Simplify right side
    61,765x = 18,139,241,124
  5. Step 5: Solve for x
    x = 18,139,241,124/61,765
  6. Step 6: Final answer
    x = 293,681.55

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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.