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Finding the Third Proportional to 102,664.50 and 153,579

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Solution

The third proportional to 102,664.50 and 153,579 is: 229,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,664.50 : 153,579 = 153,579 : x
  2. Step 2: Convert to fraction form
    102,664.50/153,579 = 153,579/x
  3. Step 3: Cross multiply
    102,664.50x = 153,579 × 153,579
  4. Step 4: Simplify right side
    102,664.50x = 23,586,509,241
  5. Step 5: Solve for x
    x = 23,586,509,241/102,664.50
  6. Step 6: Final answer
    x = 229,743.57

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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.