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Finding the Third Proportional to 134,655.75 and 204,781.50

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Solution

The third proportional to 134,655.75 and 204,781.50 is: 311,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,655.75 : 204,781.50 = 204,781.50 : x
  2. Step 2: Convert to fraction form
    134,655.75/204,781.50 = 204,781.50/x
  3. Step 3: Cross multiply
    134,655.75x = 204,781.50 × 204,781.50
  4. Step 4: Simplify right side
    134,655.75x = 41,935,462,742.25
  5. Step 5: Solve for x
    x = 41,935,462,742.25/134,655.75
  6. Step 6: Final answer
    x = 311,427.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.