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Finding the Third Proportional to 64,290 and 93,921

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Solution

The third proportional to 64,290 and 93,921 is: 137,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,290 : 93,921 = 93,921 : x
  2. Step 2: Convert to fraction form
    64,290/93,921 = 93,921/x
  3. Step 3: Cross multiply
    64,290x = 93,921 × 93,921
  4. Step 4: Simplify right side
    64,290x = 8,821,154,241
  5. Step 5: Solve for x
    x = 8,821,154,241/64,290
  6. Step 6: Final answer
    x = 137,208.81

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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.