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Finding the Third Proportional to 103,596 and 151,968

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Solution

The third proportional to 103,596 and 151,968 is: 222,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,596 : 151,968 = 151,968 : x
  2. Step 2: Convert to fraction form
    103,596/151,968 = 151,968/x
  3. Step 3: Cross multiply
    103,596x = 151,968 × 151,968
  4. Step 4: Simplify right side
    103,596x = 23,094,273,024
  5. Step 5: Solve for x
    x = 23,094,273,024/103,596
  6. Step 6: Final answer
    x = 222,926.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.