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Finding the Third Proportional to 71,483 and 105,145

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Solution

The third proportional to 71,483 and 105,145 is: 154,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,483 : 105,145 = 105,145 : x
  2. Step 2: Convert to fraction form
    71,483/105,145 = 105,145/x
  3. Step 3: Cross multiply
    71,483x = 105,145 × 105,145
  4. Step 4: Simplify right side
    71,483x = 11,055,471,025
  5. Step 5: Solve for x
    x = 11,055,471,025/71,483
  6. Step 6: Final answer
    x = 154,658.74

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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.