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Finding the Third Proportional to 64,000 and 93,713

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Solution

The third proportional to 64,000 and 93,713 is: 137,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000 : 93,713 = 93,713 : x
  2. Step 2: Convert to fraction form
    64,000/93,713 = 93,713/x
  3. Step 3: Cross multiply
    64,000x = 93,713 × 93,713
  4. Step 4: Simplify right side
    64,000x = 8,782,126,369
  5. Step 5: Solve for x
    x = 8,782,126,369/64,000
  6. Step 6: Final answer
    x = 137,220.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.