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Finding the Third Proportional to 91,719 and 189,148

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Solution

The third proportional to 91,719 and 189,148 is: 390,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,719 : 189,148 = 189,148 : x
  2. Step 2: Convert to fraction form
    91,719/189,148 = 189,148/x
  3. Step 3: Cross multiply
    91,719x = 189,148 × 189,148
  4. Step 4: Simplify right side
    91,719x = 35,776,965,904
  5. Step 5: Solve for x
    x = 35,776,965,904/91,719
  6. Step 6: Final answer
    x = 390,071.48

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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.