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Finding the Third Proportional to 71,395.17 and 106,313.13

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Solution

The third proportional to 71,395.17 and 106,313.13 is: 158,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,395.17 : 106,313.13 = 106,313.13 : x
  2. Step 2: Convert to fraction form
    71,395.17/106,313.13 = 106,313.13/x
  3. Step 3: Cross multiply
    71,395.17x = 106,313.13 × 106,313.13
  4. Step 4: Simplify right side
    71,395.17x = 11,302,482,208.41
  5. Step 5: Solve for x
    x = 11,302,482,208.41/71,395.17
  6. Step 6: Final answer
    x = 158,308.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.