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Finding the Third Proportional to 45,712 and 69,055

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Solution

The third proportional to 45,712 and 69,055 is: 104,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712 : 69,055 = 69,055 : x
  2. Step 2: Convert to fraction form
    45,712/69,055 = 69,055/x
  3. Step 3: Cross multiply
    45,712x = 69,055 × 69,055
  4. Step 4: Simplify right side
    45,712x = 4,768,593,025
  5. Step 5: Solve for x
    x = 4,768,593,025/45,712
  6. Step 6: Final answer
    x = 104,318.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.