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Finding the Third Proportional to 28,954 and 63,146

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Solution

The third proportional to 28,954 and 63,146 is: 137,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,954 : 63,146 = 63,146 : x
  2. Step 2: Convert to fraction form
    28,954/63,146 = 63,146/x
  3. Step 3: Cross multiply
    28,954x = 63,146 × 63,146
  4. Step 4: Simplify right side
    28,954x = 3,987,417,316
  5. Step 5: Solve for x
    x = 3,987,417,316/28,954
  6. Step 6: Final answer
    x = 137,715.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.