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Finding the Third Proportional to 96,592 and 147,756

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Solution

The third proportional to 96,592 and 147,756 is: 226,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592 : 147,756 = 147,756 : x
  2. Step 2: Convert to fraction form
    96,592/147,756 = 147,756/x
  3. Step 3: Cross multiply
    96,592x = 147,756 × 147,756
  4. Step 4: Simplify right side
    96,592x = 21,831,835,536
  5. Step 5: Solve for x
    x = 21,831,835,536/96,592
  6. Step 6: Final answer
    x = 226,021.16

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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.