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Finding the Third Proportional to 50,332 and 136,430.75

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Solution

The third proportional to 50,332 and 136,430.75 is: 369,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,332 : 136,430.75 = 136,430.75 : x
  2. Step 2: Convert to fraction form
    50,332/136,430.75 = 136,430.75/x
  3. Step 3: Cross multiply
    50,332x = 136,430.75 × 136,430.75
  4. Step 4: Simplify right side
    50,332x = 18,613,349,545.56
  5. Step 5: Solve for x
    x = 18,613,349,545.56/50,332
  6. Step 6: Final answer
    x = 369,811.44

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.