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Finding the Third Proportional to 53,907.50 and 111,272

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Solution

The third proportional to 53,907.50 and 111,272 is: 229,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,907.50 : 111,272 = 111,272 : x
  2. Step 2: Convert to fraction form
    53,907.50/111,272 = 111,272/x
  3. Step 3: Cross multiply
    53,907.50x = 111,272 × 111,272
  4. Step 4: Simplify right side
    53,907.50x = 12,381,457,984
  5. Step 5: Solve for x
    x = 12,381,457,984/53,907.50
  6. Step 6: Final answer
    x = 229,679.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.