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Finding the Third Proportional to 53,010 and 81,213.75

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Solution

The third proportional to 53,010 and 81,213.75 is: 124,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,010 : 81,213.75 = 81,213.75 : x
  2. Step 2: Convert to fraction form
    53,010/81,213.75 = 81,213.75/x
  3. Step 3: Cross multiply
    53,010x = 81,213.75 × 81,213.75
  4. Step 4: Simplify right side
    53,010x = 6,595,673,189.06
  5. Step 5: Solve for x
    x = 6,595,673,189.06/53,010
  6. Step 6: Final answer
    x = 124,423.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.