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Finding the Third Proportional to 53,448.75 and 115,371

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Solution

The third proportional to 53,448.75 and 115,371 is: 249,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,448.75 : 115,371 = 115,371 : x
  2. Step 2: Convert to fraction form
    53,448.75/115,371 = 115,371/x
  3. Step 3: Cross multiply
    53,448.75x = 115,371 × 115,371
  4. Step 4: Simplify right side
    53,448.75x = 13,310,467,641
  5. Step 5: Solve for x
    x = 13,310,467,641/53,448.75
  6. Step 6: Final answer
    x = 249,032.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.