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Finding the Third Proportional to 60,814 and 91,130

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Solution

The third proportional to 60,814 and 91,130 is: 136,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,814 : 91,130 = 91,130 : x
  2. Step 2: Convert to fraction form
    60,814/91,130 = 91,130/x
  3. Step 3: Cross multiply
    60,814x = 91,130 × 91,130
  4. Step 4: Simplify right side
    60,814x = 8,304,676,900
  5. Step 5: Solve for x
    x = 8,304,676,900/60,814
  6. Step 6: Final answer
    x = 136,558.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.