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Finding the Third Proportional to 53,333.75 and 116,509.01

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Solution

The third proportional to 53,333.75 and 116,509.01 is: 254,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,333.75 : 116,509.01 = 116,509.01 : x
  2. Step 2: Convert to fraction form
    53,333.75/116,509.01 = 116,509.01/x
  3. Step 3: Cross multiply
    53,333.75x = 116,509.01 × 116,509.01
  4. Step 4: Simplify right side
    53,333.75x = 13,574,348,901.45
  5. Step 5: Solve for x
    x = 13,574,348,901.45/53,333.75
  6. Step 6: Final answer
    x = 254,517.03

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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.