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Finding the Third Proportional to 45,984 and 68,114

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Solution

The third proportional to 45,984 and 68,114 is: 100,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984 : 68,114 = 68,114 : x
  2. Step 2: Convert to fraction form
    45,984/68,114 = 68,114/x
  3. Step 3: Cross multiply
    45,984x = 68,114 × 68,114
  4. Step 4: Simplify right side
    45,984x = 4,639,516,996
  5. Step 5: Solve for x
    x = 4,639,516,996/45,984
  6. Step 6: Final answer
    x = 100,894.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.