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Finding the Third Proportional to 45,754 and 99,243

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Solution

The third proportional to 45,754 and 99,243 is: 215,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,754 : 99,243 = 99,243 : x
  2. Step 2: Convert to fraction form
    45,754/99,243 = 99,243/x
  3. Step 3: Cross multiply
    45,754x = 99,243 × 99,243
  4. Step 4: Simplify right side
    45,754x = 9,849,173,049
  5. Step 5: Solve for x
    x = 9,849,173,049/45,754
  6. Step 6: Final answer
    x = 215,263.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.