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Finding the Third Proportional to 53,532.75 and 116,605.50

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Solution

The third proportional to 53,532.75 and 116,605.50 is: 253,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,532.75 : 116,605.50 = 116,605.50 : x
  2. Step 2: Convert to fraction form
    53,532.75/116,605.50 = 116,605.50/x
  3. Step 3: Cross multiply
    53,532.75x = 116,605.50 × 116,605.50
  4. Step 4: Simplify right side
    53,532.75x = 13,596,842,630.25
  5. Step 5: Solve for x
    x = 13,596,842,630.25/53,532.75
  6. Step 6: Final answer
    x = 253,991.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.