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Finding the Third Proportional to 92,464 and 136,968

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Solution

The third proportional to 92,464 and 136,968 is: 202,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,464 : 136,968 = 136,968 : x
  2. Step 2: Convert to fraction form
    92,464/136,968 = 136,968/x
  3. Step 3: Cross multiply
    92,464x = 136,968 × 136,968
  4. Step 4: Simplify right side
    92,464x = 18,760,233,024
  5. Step 5: Solve for x
    x = 18,760,233,024/92,464
  6. Step 6: Final answer
    x = 202,892.29

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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.