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Finding the Third Proportional to 102,791 and 117,554

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Solution

The third proportional to 102,791 and 117,554 is: 134,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,791 : 117,554 = 117,554 : x
  2. Step 2: Convert to fraction form
    102,791/117,554 = 117,554/x
  3. Step 3: Cross multiply
    102,791x = 117,554 × 117,554
  4. Step 4: Simplify right side
    102,791x = 13,818,942,916
  5. Step 5: Solve for x
    x = 13,818,942,916/102,791
  6. Step 6: Final answer
    x = 134,437.28

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.