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Finding the Third Proportional to 76,080 and 114,108

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Solution

The third proportional to 76,080 and 114,108 is: 171,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,080 : 114,108 = 114,108 : x
  2. Step 2: Convert to fraction form
    76,080/114,108 = 114,108/x
  3. Step 3: Cross multiply
    76,080x = 114,108 × 114,108
  4. Step 4: Simplify right side
    76,080x = 13,020,635,664
  5. Step 5: Solve for x
    x = 13,020,635,664/76,080
  6. Step 6: Final answer
    x = 171,144.00

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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.