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Finding the Third Proportional to 91,572 and 189,006

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Solution

The third proportional to 91,572 and 189,006 is: 390,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,572 : 189,006 = 189,006 : x
  2. Step 2: Convert to fraction form
    91,572/189,006 = 189,006/x
  3. Step 3: Cross multiply
    91,572x = 189,006 × 189,006
  4. Step 4: Simplify right side
    91,572x = 35,723,268,036
  5. Step 5: Solve for x
    x = 35,723,268,036/91,572
  6. Step 6: Final answer
    x = 390,111.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.