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Finding the Third Proportional to 76,071 and 162,323

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Solution

The third proportional to 76,071 and 162,323 is: 346,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,071 : 162,323 = 162,323 : x
  2. Step 2: Convert to fraction form
    76,071/162,323 = 162,323/x
  3. Step 3: Cross multiply
    76,071x = 162,323 × 162,323
  4. Step 4: Simplify right side
    76,071x = 26,348,756,329
  5. Step 5: Solve for x
    x = 26,348,756,329/76,071
  6. Step 6: Final answer
    x = 346,370.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.