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Finding the Third Proportional to 104,823 and 163,461

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Solution

The third proportional to 104,823 and 163,461 is: 254,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,823 : 163,461 = 163,461 : x
  2. Step 2: Convert to fraction form
    104,823/163,461 = 163,461/x
  3. Step 3: Cross multiply
    104,823x = 163,461 × 163,461
  4. Step 4: Simplify right side
    104,823x = 26,719,498,521
  5. Step 5: Solve for x
    x = 26,719,498,521/104,823
  6. Step 6: Final answer
    x = 254,901.10

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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.