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Finding the Third Proportional to 96,590 and 147,754

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Solution

The third proportional to 96,590 and 147,754 is: 226,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,590 : 147,754 = 147,754 : x
  2. Step 2: Convert to fraction form
    96,590/147,754 = 147,754/x
  3. Step 3: Cross multiply
    96,590x = 147,754 × 147,754
  4. Step 4: Simplify right side
    96,590x = 21,831,244,516
  5. Step 5: Solve for x
    x = 21,831,244,516/96,590
  6. Step 6: Final answer
    x = 226,019.72

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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.