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Finding the Third Proportional to 134,688 and 209,124

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Solution

The third proportional to 134,688 and 209,124 is: 324,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,688 : 209,124 = 209,124 : x
  2. Step 2: Convert to fraction form
    134,688/209,124 = 209,124/x
  3. Step 3: Cross multiply
    134,688x = 209,124 × 209,124
  4. Step 4: Simplify right side
    134,688x = 43,732,847,376
  5. Step 5: Solve for x
    x = 43,732,847,376/134,688
  6. Step 6: Final answer
    x = 324,697.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.