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Finding the Third Proportional to 55,298 and 117,316

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Solution

The third proportional to 55,298 and 117,316 is: 248,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298 : 117,316 = 117,316 : x
  2. Step 2: Convert to fraction form
    55,298/117,316 = 117,316/x
  3. Step 3: Cross multiply
    55,298x = 117,316 × 117,316
  4. Step 4: Simplify right side
    55,298x = 13,763,043,856
  5. Step 5: Solve for x
    x = 13,763,043,856/55,298
  6. Step 6: Final answer
    x = 248,888.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.