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Finding the Third Proportional to 50,076 and 77,987.25

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Solution

The third proportional to 50,076 and 77,987.25 is: 121,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,076 : 77,987.25 = 77,987.25 : x
  2. Step 2: Convert to fraction form
    50,076/77,987.25 = 77,987.25/x
  3. Step 3: Cross multiply
    50,076x = 77,987.25 × 77,987.25
  4. Step 4: Simplify right side
    50,076x = 6,082,011,162.56
  5. Step 5: Solve for x
    x = 6,082,011,162.56/50,076
  6. Step 6: Final answer
    x = 121,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.