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Finding the Third Proportional to 60,184 and 120,602

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Solution

The third proportional to 60,184 and 120,602 is: 241,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,184 : 120,602 = 120,602 : x
  2. Step 2: Convert to fraction form
    60,184/120,602 = 120,602/x
  3. Step 3: Cross multiply
    60,184x = 120,602 × 120,602
  4. Step 4: Simplify right side
    60,184x = 14,544,842,404
  5. Step 5: Solve for x
    x = 14,544,842,404/60,184
  6. Step 6: Final answer
    x = 241,672.91

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.