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Finding the Third Proportional to 53,172 and 74,502

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Solution

The third proportional to 53,172 and 74,502 is: 104,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,172 : 74,502 = 74,502 : x
  2. Step 2: Convert to fraction form
    53,172/74,502 = 74,502/x
  3. Step 3: Cross multiply
    53,172x = 74,502 × 74,502
  4. Step 4: Simplify right side
    53,172x = 5,550,548,004
  5. Step 5: Solve for x
    x = 5,550,548,004/53,172
  6. Step 6: Final answer
    x = 104,388.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.