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Finding the Third Proportional to 50,221 and 77,707.50

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Solution

The third proportional to 50,221 and 77,707.50 is: 120,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221 : 77,707.50 = 77,707.50 : x
  2. Step 2: Convert to fraction form
    50,221/77,707.50 = 77,707.50/x
  3. Step 3: Cross multiply
    50,221x = 77,707.50 × 77,707.50
  4. Step 4: Simplify right side
    50,221x = 6,038,455,556.25
  5. Step 5: Solve for x
    x = 6,038,455,556.25/50,221
  6. Step 6: Final answer
    x = 120,237.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.