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Finding the Third Proportional to 53,521 and 117,635.50

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Solution

The third proportional to 53,521 and 117,635.50 is: 258,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,521 : 117,635.50 = 117,635.50 : x
  2. Step 2: Convert to fraction form
    53,521/117,635.50 = 117,635.50/x
  3. Step 3: Cross multiply
    53,521x = 117,635.50 × 117,635.50
  4. Step 4: Simplify right side
    53,521x = 13,838,110,860.25
  5. Step 5: Solve for x
    x = 13,838,110,860.25/53,521
  6. Step 6: Final answer
    x = 258,554.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.