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Finding the Third Proportional to 71,707 and 105,022

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Solution

The third proportional to 71,707 and 105,022 is: 153,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707 : 105,022 = 105,022 : x
  2. Step 2: Convert to fraction form
    71,707/105,022 = 105,022/x
  3. Step 3: Cross multiply
    71,707x = 105,022 × 105,022
  4. Step 4: Simplify right side
    71,707x = 11,029,620,484
  5. Step 5: Solve for x
    x = 11,029,620,484/71,707
  6. Step 6: Final answer
    x = 153,815.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.