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Finding the Third Proportional to 102,156 and 237,390

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Solution

The third proportional to 102,156 and 237,390 is: 551,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,156 : 237,390 = 237,390 : x
  2. Step 2: Convert to fraction form
    102,156/237,390 = 237,390/x
  3. Step 3: Cross multiply
    102,156x = 237,390 × 237,390
  4. Step 4: Simplify right side
    102,156x = 56,354,012,100
  5. Step 5: Solve for x
    x = 56,354,012,100/102,156
  6. Step 6: Final answer
    x = 551,646.62

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.