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Finding the Third Proportional to 74,412 and 175,623

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Solution

The third proportional to 74,412 and 175,623 is: 414,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412 : 175,623 = 175,623 : x
  2. Step 2: Convert to fraction form
    74,412/175,623 = 175,623/x
  3. Step 3: Cross multiply
    74,412x = 175,623 × 175,623
  4. Step 4: Simplify right side
    74,412x = 30,843,438,129
  5. Step 5: Solve for x
    x = 30,843,438,129/74,412
  6. Step 6: Final answer
    x = 414,495.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.