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Finding the Third Proportional to 76,072 and 114,342

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Solution

The third proportional to 76,072 and 114,342 is: 171,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,072 : 114,342 = 114,342 : x
  2. Step 2: Convert to fraction form
    76,072/114,342 = 114,342/x
  3. Step 3: Cross multiply
    76,072x = 114,342 × 114,342
  4. Step 4: Simplify right side
    76,072x = 13,074,092,964
  5. Step 5: Solve for x
    x = 13,074,092,964/76,072
  6. Step 6: Final answer
    x = 171,864.72

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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.