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Finding the Third Proportional to 73,580 and 113,907

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Solution

The third proportional to 73,580 and 113,907 is: 176,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,580 : 113,907 = 113,907 : x
  2. Step 2: Convert to fraction form
    73,580/113,907 = 113,907/x
  3. Step 3: Cross multiply
    73,580x = 113,907 × 113,907
  4. Step 4: Simplify right side
    73,580x = 12,974,804,649
  5. Step 5: Solve for x
    x = 12,974,804,649/73,580
  6. Step 6: Final answer
    x = 176,336.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.