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Finding the Third Proportional to 130,727.25 and 277,151.63

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Solution

The third proportional to 130,727.25 and 277,151.63 is: 587,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,727.25 : 277,151.63 = 277,151.63 : x
  2. Step 2: Convert to fraction form
    130,727.25/277,151.63 = 277,151.63/x
  3. Step 3: Cross multiply
    130,727.25x = 277,151.63 × 277,151.63
  4. Step 4: Simplify right side
    130,727.25x = 76,813,023,240.14
  5. Step 5: Solve for x
    x = 76,813,023,240.14/130,727.25
  6. Step 6: Final answer
    x = 587,582.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.