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Finding the Third Proportional to 45,720 and 92,712

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Solution

The third proportional to 45,720 and 92,712 is: 188,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,720 : 92,712 = 92,712 : x
  2. Step 2: Convert to fraction form
    45,720/92,712 = 92,712/x
  3. Step 3: Cross multiply
    45,720x = 92,712 × 92,712
  4. Step 4: Simplify right side
    45,720x = 8,595,514,944
  5. Step 5: Solve for x
    x = 8,595,514,944/45,720
  6. Step 6: Final answer
    x = 188,003.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.