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Finding the Third Proportional to 104,820 and 163,458

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Solution

The third proportional to 104,820 and 163,458 is: 254,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,820 : 163,458 = 163,458 : x
  2. Step 2: Convert to fraction form
    104,820/163,458 = 163,458/x
  3. Step 3: Cross multiply
    104,820x = 163,458 × 163,458
  4. Step 4: Simplify right side
    104,820x = 26,718,517,764
  5. Step 5: Solve for x
    x = 26,718,517,764/104,820
  6. Step 6: Final answer
    x = 254,899.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.