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Finding the Third Proportional to 104,553 and 163,071

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Solution

The third proportional to 104,553 and 163,071 is: 254,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,553 : 163,071 = 163,071 : x
  2. Step 2: Convert to fraction form
    104,553/163,071 = 163,071/x
  3. Step 3: Cross multiply
    104,553x = 163,071 × 163,071
  4. Step 4: Simplify right side
    104,553x = 26,592,151,041
  5. Step 5: Solve for x
    x = 26,592,151,041/104,553
  6. Step 6: Final answer
    x = 254,341.35

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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.