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Finding the Third Proportional to 76,074 and 114,345

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Solution

The third proportional to 76,074 and 114,345 is: 171,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074 : 114,345 = 114,345 : x
  2. Step 2: Convert to fraction form
    76,074/114,345 = 114,345/x
  3. Step 3: Cross multiply
    76,074x = 114,345 × 114,345
  4. Step 4: Simplify right side
    76,074x = 13,074,779,025
  5. Step 5: Solve for x
    x = 13,074,779,025/76,074
  6. Step 6: Final answer
    x = 171,869.22

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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.