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Finding the Third Proportional to 128,049 and 139,530.75

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Solution

The third proportional to 128,049 and 139,530.75 is: 152,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,049 : 139,530.75 = 139,530.75 : x
  2. Step 2: Convert to fraction form
    128,049/139,530.75 = 139,530.75/x
  3. Step 3: Cross multiply
    128,049x = 139,530.75 × 139,530.75
  4. Step 4: Simplify right side
    128,049x = 19,468,830,195.56
  5. Step 5: Solve for x
    x = 19,468,830,195.56/128,049
  6. Step 6: Final answer
    x = 152,042.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.