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Finding the Third Proportional to 96,858 and 145,386

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Solution

The third proportional to 96,858 and 145,386 is: 218,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,858 : 145,386 = 145,386 : x
  2. Step 2: Convert to fraction form
    96,858/145,386 = 145,386/x
  3. Step 3: Cross multiply
    96,858x = 145,386 × 145,386
  4. Step 4: Simplify right side
    96,858x = 21,137,088,996
  5. Step 5: Solve for x
    x = 21,137,088,996/96,858
  6. Step 6: Final answer
    x = 218,227.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.