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Finding the Third Proportional to 88,776 and 141,696

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Solution

The third proportional to 88,776 and 141,696 is: 226,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,776 : 141,696 = 141,696 : x
  2. Step 2: Convert to fraction form
    88,776/141,696 = 141,696/x
  3. Step 3: Cross multiply
    88,776x = 141,696 × 141,696
  4. Step 4: Simplify right side
    88,776x = 20,077,756,416
  5. Step 5: Solve for x
    x = 20,077,756,416/88,776
  6. Step 6: Final answer
    x = 226,161.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.