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Finding the Third Proportional to 64,006 and 93,693

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Solution

The third proportional to 64,006 and 93,693 is: 137,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,006 : 93,693 = 93,693 : x
  2. Step 2: Convert to fraction form
    64,006/93,693 = 93,693/x
  3. Step 3: Cross multiply
    64,006x = 93,693 × 93,693
  4. Step 4: Simplify right side
    64,006x = 8,778,378,249
  5. Step 5: Solve for x
    x = 8,778,378,249/64,006
  6. Step 6: Final answer
    x = 137,149.30

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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.