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Finding the Third Proportional to 95,764.78 and 143,777.53

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Solution

The third proportional to 95,764.78 and 143,777.53 is: 215,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,764.78 : 143,777.53 = 143,777.53 : x
  2. Step 2: Convert to fraction form
    95,764.78/143,777.53 = 143,777.53/x
  3. Step 3: Cross multiply
    95,764.78x = 143,777.53 × 143,777.53
  4. Step 4: Simplify right side
    95,764.78x = 20,671,978,492.34
  5. Step 5: Solve for x
    x = 20,671,978,492.34/95,764.78
  6. Step 6: Final answer
    x = 215,862.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.