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Finding the Third Proportional to 53,763.75 and 121,401.28

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Solution

The third proportional to 53,763.75 and 121,401.28 is: 274,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,763.75 : 121,401.28 = 121,401.28 : x
  2. Step 2: Convert to fraction form
    53,763.75/121,401.28 = 121,401.28/x
  3. Step 3: Cross multiply
    53,763.75x = 121,401.28 × 121,401.28
  4. Step 4: Simplify right side
    53,763.75x = 14,738,271,089.14
  5. Step 5: Solve for x
    x = 14,738,271,089.14/53,763.75
  6. Step 6: Final answer
    x = 274,130.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.