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Finding the Third Proportional to 118,232 and 162,582

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Solution

The third proportional to 118,232 and 162,582 is: 223,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,232 : 162,582 = 162,582 : x
  2. Step 2: Convert to fraction form
    118,232/162,582 = 162,582/x
  3. Step 3: Cross multiply
    118,232x = 162,582 × 162,582
  4. Step 4: Simplify right side
    118,232x = 26,432,906,724
  5. Step 5: Solve for x
    x = 26,432,906,724/118,232
  6. Step 6: Final answer
    x = 223,568.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.