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Finding the Third Proportional to 53,740 and 75,545

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Solution

The third proportional to 53,740 and 75,545 is: 106,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,740 : 75,545 = 75,545 : x
  2. Step 2: Convert to fraction form
    53,740/75,545 = 75,545/x
  3. Step 3: Cross multiply
    53,740x = 75,545 × 75,545
  4. Step 4: Simplify right side
    53,740x = 5,707,047,025
  5. Step 5: Solve for x
    x = 5,707,047,025/53,740
  6. Step 6: Final answer
    x = 106,197.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.