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Finding the Third Proportional to 112,083 and 173,542.50

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Solution

The third proportional to 112,083 and 173,542.50 is: 268,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,083 : 173,542.50 = 173,542.50 : x
  2. Step 2: Convert to fraction form
    112,083/173,542.50 = 173,542.50/x
  3. Step 3: Cross multiply
    112,083x = 173,542.50 × 173,542.50
  4. Step 4: Simplify right side
    112,083x = 30,116,999,306.25
  5. Step 5: Solve for x
    x = 30,116,999,306.25/112,083
  6. Step 6: Final answer
    x = 268,702.65

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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.