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Finding the Third Proportional to 96,316 and 127,834

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Solution

The third proportional to 96,316 and 127,834 is: 169,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,316 : 127,834 = 127,834 : x
  2. Step 2: Convert to fraction form
    96,316/127,834 = 127,834/x
  3. Step 3: Cross multiply
    96,316x = 127,834 × 127,834
  4. Step 4: Simplify right side
    96,316x = 16,341,531,556
  5. Step 5: Solve for x
    x = 16,341,531,556/96,316
  6. Step 6: Final answer
    x = 169,665.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.