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Finding the Third Proportional to 55,990 and 118,298

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Solution

The third proportional to 55,990 and 118,298 is: 249,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,990 : 118,298 = 118,298 : x
  2. Step 2: Convert to fraction form
    55,990/118,298 = 118,298/x
  3. Step 3: Cross multiply
    55,990x = 118,298 × 118,298
  4. Step 4: Simplify right side
    55,990x = 13,994,416,804
  5. Step 5: Solve for x
    x = 13,994,416,804/55,990
  6. Step 6: Final answer
    x = 249,944.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.