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Finding the Third Proportional to 44,258 and 68,527

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Solution

The third proportional to 44,258 and 68,527 is: 106,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,258 : 68,527 = 68,527 : x
  2. Step 2: Convert to fraction form
    44,258/68,527 = 68,527/x
  3. Step 3: Cross multiply
    44,258x = 68,527 × 68,527
  4. Step 4: Simplify right side
    44,258x = 4,695,949,729
  5. Step 5: Solve for x
    x = 4,695,949,729/44,258
  6. Step 6: Final answer
    x = 106,103.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.