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Finding the Third Proportional to 53,657.02 and 116,540.02

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Solution

The third proportional to 53,657.02 and 116,540.02 is: 253,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657.02 : 116,540.02 = 116,540.02 : x
  2. Step 2: Convert to fraction form
    53,657.02/116,540.02 = 116,540.02/x
  3. Step 3: Cross multiply
    53,657.02x = 116,540.02 × 116,540.02
  4. Step 4: Simplify right side
    53,657.02x = 13,581,575,241.88
  5. Step 5: Solve for x
    x = 13,581,575,241.88/53,657.02
  6. Step 6: Final answer
    x = 253,118.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.