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Finding the Third Proportional to 53,032 and 74,334

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Solution

The third proportional to 53,032 and 74,334 is: 104,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,032 : 74,334 = 74,334 : x
  2. Step 2: Convert to fraction form
    53,032/74,334 = 74,334/x
  3. Step 3: Cross multiply
    53,032x = 74,334 × 74,334
  4. Step 4: Simplify right side
    53,032x = 5,525,543,556
  5. Step 5: Solve for x
    x = 5,525,543,556/53,032
  6. Step 6: Final answer
    x = 104,192.63

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Why These Related Problems?

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