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Finding the Third Proportional to 68,961 and 147,763

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Solution

The third proportional to 68,961 and 147,763 is: 316,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,961 : 147,763 = 147,763 : x
  2. Step 2: Convert to fraction form
    68,961/147,763 = 147,763/x
  3. Step 3: Cross multiply
    68,961x = 147,763 × 147,763
  4. Step 4: Simplify right side
    68,961x = 21,833,904,169
  5. Step 5: Solve for x
    x = 21,833,904,169/68,961
  6. Step 6: Final answer
    x = 316,612.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.