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Finding the Third Proportional to 42,712 and 88,696

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Solution

The third proportional to 42,712 and 88,696 is: 184,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712 : 88,696 = 88,696 : x
  2. Step 2: Convert to fraction form
    42,712/88,696 = 88,696/x
  3. Step 3: Cross multiply
    42,712x = 88,696 × 88,696
  4. Step 4: Simplify right side
    42,712x = 7,866,980,416
  5. Step 5: Solve for x
    x = 7,866,980,416/42,712
  6. Step 6: Final answer
    x = 184,186.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.