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Finding the Third Proportional to 53,502 and 114,411

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Solution

The third proportional to 53,502 and 114,411 is: 244,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,502 : 114,411 = 114,411 : x
  2. Step 2: Convert to fraction form
    53,502/114,411 = 114,411/x
  3. Step 3: Cross multiply
    53,502x = 114,411 × 114,411
  4. Step 4: Simplify right side
    53,502x = 13,089,876,921
  5. Step 5: Solve for x
    x = 13,089,876,921/53,502
  6. Step 6: Final answer
    x = 244,661.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.