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Finding the Third Proportional to 68,813 and 96,905

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Solution

The third proportional to 68,813 and 96,905 is: 136,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,813 : 96,905 = 96,905 : x
  2. Step 2: Convert to fraction form
    68,813/96,905 = 96,905/x
  3. Step 3: Cross multiply
    68,813x = 96,905 × 96,905
  4. Step 4: Simplify right side
    68,813x = 9,390,579,025
  5. Step 5: Solve for x
    x = 9,390,579,025/68,813
  6. Step 6: Final answer
    x = 136,465.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.