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Finding the Third Proportional to 53,200.13 and 116,765.63

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Solution

The third proportional to 53,200.13 and 116,765.63 is: 256,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.13 : 116,765.63 = 116,765.63 : x
  2. Step 2: Convert to fraction form
    53,200.13/116,765.63 = 116,765.63/x
  3. Step 3: Cross multiply
    53,200.13x = 116,765.63 × 116,765.63
  4. Step 4: Simplify right side
    53,200.13x = 13,634,211,181.64
  5. Step 5: Solve for x
    x = 13,634,211,181.64/53,200.13
  6. Step 6: Final answer
    x = 256,281.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.