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Finding the Third Proportional to 76,527.91 and 114,868.76

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Solution

The third proportional to 76,527.91 and 114,868.76 is: 172,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,527.91 : 114,868.76 = 114,868.76 : x
  2. Step 2: Convert to fraction form
    76,527.91/114,868.76 = 114,868.76/x
  3. Step 3: Cross multiply
    76,527.91x = 114,868.76 × 114,868.76
  4. Step 4: Simplify right side
    76,527.91x = 13,194,831,521.39
  5. Step 5: Solve for x
    x = 13,194,831,521.39/76,527.91
  6. Step 6: Final answer
    x = 172,418.54

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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.