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Finding the Third Proportional to 71,451 and 105,039

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Solution

The third proportional to 71,451 and 105,039 is: 154,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,451 : 105,039 = 105,039 : x
  2. Step 2: Convert to fraction form
    71,451/105,039 = 105,039/x
  3. Step 3: Cross multiply
    71,451x = 105,039 × 105,039
  4. Step 4: Simplify right side
    71,451x = 11,033,191,521
  5. Step 5: Solve for x
    x = 11,033,191,521/71,451
  6. Step 6: Final answer
    x = 154,416.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.