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Finding the Third Proportional to 45,306 and 96,114

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Solution

The third proportional to 45,306 and 96,114 is: 203,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,306 : 96,114 = 96,114 : x
  2. Step 2: Convert to fraction form
    45,306/96,114 = 96,114/x
  3. Step 3: Cross multiply
    45,306x = 96,114 × 96,114
  4. Step 4: Simplify right side
    45,306x = 9,237,900,996
  5. Step 5: Solve for x
    x = 9,237,900,996/45,306
  6. Step 6: Final answer
    x = 203,900.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.