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Finding the Third Proportional to 112,047 and 173,503.50

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Solution

The third proportional to 112,047 and 173,503.50 is: 268,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,047 : 173,503.50 = 173,503.50 : x
  2. Step 2: Convert to fraction form
    112,047/173,503.50 = 173,503.50/x
  3. Step 3: Cross multiply
    112,047x = 173,503.50 × 173,503.50
  4. Step 4: Simplify right side
    112,047x = 30,103,464,512.25
  5. Step 5: Solve for x
    x = 30,103,464,512.25/112,047
  6. Step 6: Final answer
    x = 268,668.19

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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.