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Finding the Third Proportional to 55,575 and 119,904

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Solution

The third proportional to 55,575 and 119,904 is: 258,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,575 : 119,904 = 119,904 : x
  2. Step 2: Convert to fraction form
    55,575/119,904 = 119,904/x
  3. Step 3: Cross multiply
    55,575x = 119,904 × 119,904
  4. Step 4: Simplify right side
    55,575x = 14,376,969,216
  5. Step 5: Solve for x
    x = 14,376,969,216/55,575
  6. Step 6: Final answer
    x = 258,694.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.