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Finding the Third Proportional to 45,236 and 66,499

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Solution

The third proportional to 45,236 and 66,499 is: 97,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,236 : 66,499 = 66,499 : x
  2. Step 2: Convert to fraction form
    45,236/66,499 = 66,499/x
  3. Step 3: Cross multiply
    45,236x = 66,499 × 66,499
  4. Step 4: Simplify right side
    45,236x = 4,422,117,001
  5. Step 5: Solve for x
    x = 4,422,117,001/45,236
  6. Step 6: Final answer
    x = 97,756.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.