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Finding the Third Proportional to 97,623 and 146,052

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Solution

The third proportional to 97,623 and 146,052 is: 218,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,623 : 146,052 = 146,052 : x
  2. Step 2: Convert to fraction form
    97,623/146,052 = 146,052/x
  3. Step 3: Cross multiply
    97,623x = 146,052 × 146,052
  4. Step 4: Simplify right side
    97,623x = 21,331,186,704
  5. Step 5: Solve for x
    x = 21,331,186,704/97,623
  6. Step 6: Final answer
    x = 218,505.75

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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.