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Finding the Third Proportional to 76,072 and 118,254

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Solution

The third proportional to 76,072 and 118,254 is: 183,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,072 : 118,254 = 118,254 : x
  2. Step 2: Convert to fraction form
    76,072/118,254 = 118,254/x
  3. Step 3: Cross multiply
    76,072x = 118,254 × 118,254
  4. Step 4: Simplify right side
    76,072x = 13,984,008,516
  5. Step 5: Solve for x
    x = 13,984,008,516/76,072
  6. Step 6: Final answer
    x = 183,825.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.