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Finding the Third Proportional to 77,053 and 165,563

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Solution

The third proportional to 77,053 and 165,563 is: 355,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,053 : 165,563 = 165,563 : x
  2. Step 2: Convert to fraction form
    77,053/165,563 = 165,563/x
  3. Step 3: Cross multiply
    77,053x = 165,563 × 165,563
  4. Step 4: Simplify right side
    77,053x = 27,411,106,969
  5. Step 5: Solve for x
    x = 27,411,106,969/77,053
  6. Step 6: Final answer
    x = 355,743.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.