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Finding the Third Proportional to 96,664 and 147,878

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Solution

The third proportional to 96,664 and 147,878 is: 226,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,664 : 147,878 = 147,878 : x
  2. Step 2: Convert to fraction form
    96,664/147,878 = 147,878/x
  3. Step 3: Cross multiply
    96,664x = 147,878 × 147,878
  4. Step 4: Simplify right side
    96,664x = 21,867,902,884
  5. Step 5: Solve for x
    x = 21,867,902,884/96,664
  6. Step 6: Final answer
    x = 226,225.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.