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Finding the Third Proportional to 96,664 and 145,590

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Solution

The third proportional to 96,664 and 145,590 is: 219,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,664 : 145,590 = 145,590 : x
  2. Step 2: Convert to fraction form
    96,664/145,590 = 145,590/x
  3. Step 3: Cross multiply
    96,664x = 145,590 × 145,590
  4. Step 4: Simplify right side
    96,664x = 21,196,448,100
  5. Step 5: Solve for x
    x = 21,196,448,100/96,664
  6. Step 6: Final answer
    x = 219,279.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.