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Finding the Third Proportional to 100,145.25 and 155,962.13

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Solution

The third proportional to 100,145.25 and 155,962.13 is: 242,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145.25 : 155,962.13 = 155,962.13 : x
  2. Step 2: Convert to fraction form
    100,145.25/155,962.13 = 155,962.13/x
  3. Step 3: Cross multiply
    100,145.25x = 155,962.13 × 155,962.13
  4. Step 4: Simplify right side
    100,145.25x = 24,324,184,434.52
  5. Step 5: Solve for x
    x = 24,324,184,434.52/100,145.25
  6. Step 6: Final answer
    x = 242,889.05

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.