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Finding the Third Proportional to 64,499 and 92,903

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Solution

The third proportional to 64,499 and 92,903 is: 133,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,499 : 92,903 = 92,903 : x
  2. Step 2: Convert to fraction form
    64,499/92,903 = 92,903/x
  3. Step 3: Cross multiply
    64,499x = 92,903 × 92,903
  4. Step 4: Simplify right side
    64,499x = 8,630,967,409
  5. Step 5: Solve for x
    x = 8,630,967,409/64,499
  6. Step 6: Final answer
    x = 133,815.52

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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.