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Finding the Third Proportional to 106,426.13 and 158,716.13

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Solution

The third proportional to 106,426.13 and 158,716.13 is: 236,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,426.13 : 158,716.13 = 158,716.13 : x
  2. Step 2: Convert to fraction form
    106,426.13/158,716.13 = 158,716.13/x
  3. Step 3: Cross multiply
    106,426.13x = 158,716.13 × 158,716.13
  4. Step 4: Simplify right side
    106,426.13x = 25,190,808,335.02
  5. Step 5: Solve for x
    x = 25,190,808,335.02/106,426.13
  6. Step 6: Final answer
    x = 236,697.60

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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.