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Finding the Third Proportional to 53,124.50 and 115,595

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Solution

The third proportional to 53,124.50 and 115,595 is: 251,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,124.50 : 115,595 = 115,595 : x
  2. Step 2: Convert to fraction form
    53,124.50/115,595 = 115,595/x
  3. Step 3: Cross multiply
    53,124.50x = 115,595 × 115,595
  4. Step 4: Simplify right side
    53,124.50x = 13,362,204,025
  5. Step 5: Solve for x
    x = 13,362,204,025/53,124.50
  6. Step 6: Final answer
    x = 251,526.21

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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.