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Finding the Third Proportional to 102,802.50 and 237,972.94

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Solution

The third proportional to 102,802.50 and 237,972.94 is: 550,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802.50 : 237,972.94 = 237,972.94 : x
  2. Step 2: Convert to fraction form
    102,802.50/237,972.94 = 237,972.94/x
  3. Step 3: Cross multiply
    102,802.50x = 237,972.94 × 237,972.94
  4. Step 4: Simplify right side
    102,802.50x = 56,631,118,982.38
  5. Step 5: Solve for x
    x = 56,631,118,982.38/102,802.50
  6. Step 6: Final answer
    x = 550,872.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.