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Finding the Third Proportional to 102,056 and 149,052

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Solution

The third proportional to 102,056 and 149,052 is: 217,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056 : 149,052 = 149,052 : x
  2. Step 2: Convert to fraction form
    102,056/149,052 = 149,052/x
  3. Step 3: Cross multiply
    102,056x = 149,052 × 149,052
  4. Step 4: Simplify right side
    102,056x = 22,216,498,704
  5. Step 5: Solve for x
    x = 22,216,498,704/102,056
  6. Step 6: Final answer
    x = 217,689.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.