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Finding the Third Proportional to 53,698.50 and 116,246.25

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Solution

The third proportional to 53,698.50 and 116,246.25 is: 251,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698.50 : 116,246.25 = 116,246.25 : x
  2. Step 2: Convert to fraction form
    53,698.50/116,246.25 = 116,246.25/x
  3. Step 3: Cross multiply
    53,698.50x = 116,246.25 × 116,246.25
  4. Step 4: Simplify right side
    53,698.50x = 13,513,190,639.06
  5. Step 5: Solve for x
    x = 13,513,190,639.06/53,698.50
  6. Step 6: Final answer
    x = 251,649.31

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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.