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Finding the Third Proportional to 76,146 and 175,497

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Solution

The third proportional to 76,146 and 175,497 is: 404,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,146 : 175,497 = 175,497 : x
  2. Step 2: Convert to fraction form
    76,146/175,497 = 175,497/x
  3. Step 3: Cross multiply
    76,146x = 175,497 × 175,497
  4. Step 4: Simplify right side
    76,146x = 30,799,197,009
  5. Step 5: Solve for x
    x = 30,799,197,009/76,146
  6. Step 6: Final answer
    x = 404,475.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.