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Finding the Third Proportional to 53,053.88 and 114,008.34

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Solution

The third proportional to 53,053.88 and 114,008.34 is: 244,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,053.88 : 114,008.34 = 114,008.34 : x
  2. Step 2: Convert to fraction form
    53,053.88/114,008.34 = 114,008.34/x
  3. Step 3: Cross multiply
    53,053.88x = 114,008.34 × 114,008.34
  4. Step 4: Simplify right side
    53,053.88x = 12,997,902,444.62
  5. Step 5: Solve for x
    x = 12,997,902,444.62/53,053.88
  6. Step 6: Final answer
    x = 244,994.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.