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Finding the Third Proportional to 54,128 and 116,248

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Solution

The third proportional to 54,128 and 116,248 is: 249,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,128 : 116,248 = 116,248 : x
  2. Step 2: Convert to fraction form
    54,128/116,248 = 116,248/x
  3. Step 3: Cross multiply
    54,128x = 116,248 × 116,248
  4. Step 4: Simplify right side
    54,128x = 13,513,597,504
  5. Step 5: Solve for x
    x = 13,513,597,504/54,128
  6. Step 6: Final answer
    x = 249,660.02

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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.