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Finding the Third Proportional to 53,538.75 and 116,509.50

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Solution

The third proportional to 53,538.75 and 116,509.50 is: 253,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.75 : 116,509.50 = 116,509.50 : x
  2. Step 2: Convert to fraction form
    53,538.75/116,509.50 = 116,509.50/x
  3. Step 3: Cross multiply
    53,538.75x = 116,509.50 × 116,509.50
  4. Step 4: Simplify right side
    53,538.75x = 13,574,463,590.25
  5. Step 5: Solve for x
    x = 13,574,463,590.25/53,538.75
  6. Step 6: Final answer
    x = 253,544.65

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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.