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Finding the Third Proportional to 74,374.50 and 113,304

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Solution

The third proportional to 74,374.50 and 113,304 is: 172,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,374.50 : 113,304 = 113,304 : x
  2. Step 2: Convert to fraction form
    74,374.50/113,304 = 113,304/x
  3. Step 3: Cross multiply
    74,374.50x = 113,304 × 113,304
  4. Step 4: Simplify right side
    74,374.50x = 12,837,796,416
  5. Step 5: Solve for x
    x = 12,837,796,416/74,374.50
  6. Step 6: Final answer
    x = 172,610.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.