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Finding the Third Proportional to 74,317.50 and 155,925

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Solution

The third proportional to 74,317.50 and 155,925 is: 327,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,317.50 : 155,925 = 155,925 : x
  2. Step 2: Convert to fraction form
    74,317.50/155,925 = 155,925/x
  3. Step 3: Cross multiply
    74,317.50x = 155,925 × 155,925
  4. Step 4: Simplify right side
    74,317.50x = 24,312,605,625
  5. Step 5: Solve for x
    x = 24,312,605,625/74,317.50
  6. Step 6: Final answer
    x = 327,145.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.