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Finding the Third Proportional to 53,903.25 and 116,230.50

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Solution

The third proportional to 53,903.25 and 116,230.50 is: 250,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.25 : 116,230.50 = 116,230.50 : x
  2. Step 2: Convert to fraction form
    53,903.25/116,230.50 = 116,230.50/x
  3. Step 3: Cross multiply
    53,903.25x = 116,230.50 × 116,230.50
  4. Step 4: Simplify right side
    53,903.25x = 13,509,529,130.25
  5. Step 5: Solve for x
    x = 13,509,529,130.25/53,903.25
  6. Step 6: Final answer
    x = 250,625.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.