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Finding the Third Proportional to 96,365 and 148,305

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Solution

The third proportional to 96,365 and 148,305 is: 228,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,365 : 148,305 = 148,305 : x
  2. Step 2: Convert to fraction form
    96,365/148,305 = 148,305/x
  3. Step 3: Cross multiply
    96,365x = 148,305 × 148,305
  4. Step 4: Simplify right side
    96,365x = 21,994,373,025
  5. Step 5: Solve for x
    x = 21,994,373,025/96,365
  6. Step 6: Final answer
    x = 228,240.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.