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Finding the Third Proportional to 112,014 and 173,458.50

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Solution

The third proportional to 112,014 and 173,458.50 is: 268,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,014 : 173,458.50 = 173,458.50 : x
  2. Step 2: Convert to fraction form
    112,014/173,458.50 = 173,458.50/x
  3. Step 3: Cross multiply
    112,014x = 173,458.50 × 173,458.50
  4. Step 4: Simplify right side
    112,014x = 30,087,851,222.25
  5. Step 5: Solve for x
    x = 30,087,851,222.25/112,014
  6. Step 6: Final answer
    x = 268,607.95

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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.