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Finding the Third Proportional to 74,610 and 171,823.50

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Solution

The third proportional to 74,610 and 171,823.50 is: 395,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,610 : 171,823.50 = 171,823.50 : x
  2. Step 2: Convert to fraction form
    74,610/171,823.50 = 171,823.50/x
  3. Step 3: Cross multiply
    74,610x = 171,823.50 × 171,823.50
  4. Step 4: Simplify right side
    74,610x = 29,523,315,152.25
  5. Step 5: Solve for x
    x = 29,523,315,152.25/74,610
  6. Step 6: Final answer
    x = 395,701.85

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.