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Finding the Third Proportional to 135,534 and 181,127.25

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Solution

The third proportional to 135,534 and 181,127.25 is: 242,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,534 : 181,127.25 = 181,127.25 : x
  2. Step 2: Convert to fraction form
    135,534/181,127.25 = 181,127.25/x
  3. Step 3: Cross multiply
    135,534x = 181,127.25 × 181,127.25
  4. Step 4: Simplify right side
    135,534x = 32,807,080,692.56
  5. Step 5: Solve for x
    x = 32,807,080,692.56/135,534
  6. Step 6: Final answer
    x = 242,057.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.