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Finding the Third Proportional to 64,498 and 92,900

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Solution

The third proportional to 64,498 and 92,900 is: 133,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498 : 92,900 = 92,900 : x
  2. Step 2: Convert to fraction form
    64,498/92,900 = 92,900/x
  3. Step 3: Cross multiply
    64,498x = 92,900 × 92,900
  4. Step 4: Simplify right side
    64,498x = 8,630,410,000
  5. Step 5: Solve for x
    x = 8,630,410,000/64,498
  6. Step 6: Final answer
    x = 133,808.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.