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Finding the Third Proportional to 96,352 and 141,936

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Solution

The third proportional to 96,352 and 141,936 is: 209,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,352 : 141,936 = 141,936 : x
  2. Step 2: Convert to fraction form
    96,352/141,936 = 141,936/x
  3. Step 3: Cross multiply
    96,352x = 141,936 × 141,936
  4. Step 4: Simplify right side
    96,352x = 20,145,828,096
  5. Step 5: Solve for x
    x = 20,145,828,096/96,352
  6. Step 6: Final answer
    x = 209,085.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.