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Finding the Third Proportional to 71,516.25 and 106,052.63

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Solution

The third proportional to 71,516.25 and 106,052.63 is: 157,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,516.25 : 106,052.63 = 106,052.63 : x
  2. Step 2: Convert to fraction form
    71,516.25/106,052.63 = 106,052.63/x
  3. Step 3: Cross multiply
    71,516.25x = 106,052.63 × 106,052.63
  4. Step 4: Simplify right side
    71,516.25x = 11,247,159,269.39
  5. Step 5: Solve for x
    x = 11,247,159,269.39/71,516.25
  6. Step 6: Final answer
    x = 157,267.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.