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Finding the Third Proportional to 53,010 and 115,368.75

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Solution

The third proportional to 53,010 and 115,368.75 is: 251,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,010 : 115,368.75 = 115,368.75 : x
  2. Step 2: Convert to fraction form
    53,010/115,368.75 = 115,368.75/x
  3. Step 3: Cross multiply
    53,010x = 115,368.75 × 115,368.75
  4. Step 4: Simplify right side
    53,010x = 13,309,948,476.56
  5. Step 5: Solve for x
    x = 13,309,948,476.56/53,010
  6. Step 6: Final answer
    x = 251,083.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.