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Finding the Third Proportional to 97,713 and 146,813

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Solution

The third proportional to 97,713 and 146,813 is: 220,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,713 : 146,813 = 146,813 : x
  2. Step 2: Convert to fraction form
    97,713/146,813 = 146,813/x
  3. Step 3: Cross multiply
    97,713x = 146,813 × 146,813
  4. Step 4: Simplify right side
    97,713x = 21,554,056,969
  5. Step 5: Solve for x
    x = 21,554,056,969/97,713
  6. Step 6: Final answer
    x = 220,585.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.