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Finding the Third Proportional to 95,320 and 141,852

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Solution

The third proportional to 95,320 and 141,852 is: 211,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,320 : 141,852 = 141,852 : x
  2. Step 2: Convert to fraction form
    95,320/141,852 = 141,852/x
  3. Step 3: Cross multiply
    95,320x = 141,852 × 141,852
  4. Step 4: Simplify right side
    95,320x = 20,121,989,904
  5. Step 5: Solve for x
    x = 20,121,989,904/95,320
  6. Step 6: Final answer
    x = 211,099.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.