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Finding the Third Proportional to 88,072 and 189,968

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Solution

The third proportional to 88,072 and 189,968 is: 409,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,072 : 189,968 = 189,968 : x
  2. Step 2: Convert to fraction form
    88,072/189,968 = 189,968/x
  3. Step 3: Cross multiply
    88,072x = 189,968 × 189,968
  4. Step 4: Simplify right side
    88,072x = 36,087,841,024
  5. Step 5: Solve for x
    x = 36,087,841,024/88,072
  6. Step 6: Final answer
    x = 409,753.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.