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Finding the Third Proportional to 102,532.50 and 219,645

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Solution

The third proportional to 102,532.50 and 219,645 is: 470,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532.50 : 219,645 = 219,645 : x
  2. Step 2: Convert to fraction form
    102,532.50/219,645 = 219,645/x
  3. Step 3: Cross multiply
    102,532.50x = 219,645 × 219,645
  4. Step 4: Simplify right side
    102,532.50x = 48,243,926,025
  5. Step 5: Solve for x
    x = 48,243,926,025/102,532.50
  6. Step 6: Final answer
    x = 470,523.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.