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Finding the Third Proportional to 42,086 and 64,685

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Solution

The third proportional to 42,086 and 64,685 is: 99,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,086 : 64,685 = 64,685 : x
  2. Step 2: Convert to fraction form
    42,086/64,685 = 64,685/x
  3. Step 3: Cross multiply
    42,086x = 64,685 × 64,685
  4. Step 4: Simplify right side
    42,086x = 4,184,149,225
  5. Step 5: Solve for x
    x = 4,184,149,225/42,086
  6. Step 6: Final answer
    x = 99,419.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.