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Finding the Third Proportional to 45,712 and 92,696

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Solution

The third proportional to 45,712 and 92,696 is: 187,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712 : 92,696 = 92,696 : x
  2. Step 2: Convert to fraction form
    45,712/92,696 = 92,696/x
  3. Step 3: Cross multiply
    45,712x = 92,696 × 92,696
  4. Step 4: Simplify right side
    45,712x = 8,592,548,416
  5. Step 5: Solve for x
    x = 8,592,548,416/45,712
  6. Step 6: Final answer
    x = 187,971.40

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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.