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Finding the Third Proportional to 68,464 and 147,114

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Solution

The third proportional to 68,464 and 147,114 is: 316,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,464 : 147,114 = 147,114 : x
  2. Step 2: Convert to fraction form
    68,464/147,114 = 147,114/x
  3. Step 3: Cross multiply
    68,464x = 147,114 × 147,114
  4. Step 4: Simplify right side
    68,464x = 21,642,528,996
  5. Step 5: Solve for x
    x = 21,642,528,996/68,464
  6. Step 6: Final answer
    x = 316,115.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.