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Finding the Third Proportional to 54,248 and 114,328

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Solution

The third proportional to 54,248 and 114,328 is: 240,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,248 : 114,328 = 114,328 : x
  2. Step 2: Convert to fraction form
    54,248/114,328 = 114,328/x
  3. Step 3: Cross multiply
    54,248x = 114,328 × 114,328
  4. Step 4: Simplify right side
    54,248x = 13,070,891,584
  5. Step 5: Solve for x
    x = 13,070,891,584/54,248
  6. Step 6: Final answer
    x = 240,946.98

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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.