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Finding the Third Proportional to 96,564 and 141,389

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Solution

The third proportional to 96,564 and 141,389 is: 207,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564 : 141,389 = 141,389 : x
  2. Step 2: Convert to fraction form
    96,564/141,389 = 141,389/x
  3. Step 3: Cross multiply
    96,564x = 141,389 × 141,389
  4. Step 4: Simplify right side
    96,564x = 19,990,849,321
  5. Step 5: Solve for x
    x = 19,990,849,321/96,564
  6. Step 6: Final answer
    x = 207,021.76

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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.