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Finding the Third Proportional to 53,686.25 and 114,482

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Solution

The third proportional to 53,686.25 and 114,482 is: 244,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.25 : 114,482 = 114,482 : x
  2. Step 2: Convert to fraction form
    53,686.25/114,482 = 114,482/x
  3. Step 3: Cross multiply
    53,686.25x = 114,482 × 114,482
  4. Step 4: Simplify right side
    53,686.25x = 13,106,128,324
  5. Step 5: Solve for x
    x = 13,106,128,324/53,686.25
  6. Step 6: Final answer
    x = 244,124.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.