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Finding the Third Proportional to 64,000 and 100,386

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Solution

The third proportional to 64,000 and 100,386 is: 157,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000 : 100,386 = 100,386 : x
  2. Step 2: Convert to fraction form
    64,000/100,386 = 100,386/x
  3. Step 3: Cross multiply
    64,000x = 100,386 × 100,386
  4. Step 4: Simplify right side
    64,000x = 10,077,348,996
  5. Step 5: Solve for x
    x = 10,077,348,996/64,000
  6. Step 6: Final answer
    x = 157,458.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.