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Finding the Third Proportional to 74,378.25 and 113,319

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Solution

The third proportional to 74,378.25 and 113,319 is: 172,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378.25 : 113,319 = 113,319 : x
  2. Step 2: Convert to fraction form
    74,378.25/113,319 = 113,319/x
  3. Step 3: Cross multiply
    74,378.25x = 113,319 × 113,319
  4. Step 4: Simplify right side
    74,378.25x = 12,841,195,761
  5. Step 5: Solve for x
    x = 12,841,195,761/74,378.25
  6. Step 6: Final answer
    x = 172,647.19

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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.