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Finding the Third Proportional to 45,643.50 and 97,119

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Solution

The third proportional to 45,643.50 and 97,119 is: 206,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,643.50 : 97,119 = 97,119 : x
  2. Step 2: Convert to fraction form
    45,643.50/97,119 = 97,119/x
  3. Step 3: Cross multiply
    45,643.50x = 97,119 × 97,119
  4. Step 4: Simplify right side
    45,643.50x = 9,432,100,161
  5. Step 5: Solve for x
    x = 9,432,100,161/45,643.50
  6. Step 6: Final answer
    x = 206,647.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.