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Finding the Third Proportional to 64,012 and 93,703

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Solution

The third proportional to 64,012 and 93,703 is: 137,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,012 : 93,703 = 93,703 : x
  2. Step 2: Convert to fraction form
    64,012/93,703 = 93,703/x
  3. Step 3: Cross multiply
    64,012x = 93,703 × 93,703
  4. Step 4: Simplify right side
    64,012x = 8,780,252,209
  5. Step 5: Solve for x
    x = 8,780,252,209/64,012
  6. Step 6: Final answer
    x = 137,165.72

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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.