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Finding the Third Proportional to 67,943 and 112,293.50

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Solution

The third proportional to 67,943 and 112,293.50 is: 185,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,943 : 112,293.50 = 112,293.50 : x
  2. Step 2: Convert to fraction form
    67,943/112,293.50 = 112,293.50/x
  3. Step 3: Cross multiply
    67,943x = 112,293.50 × 112,293.50
  4. Step 4: Simplify right side
    67,943x = 12,609,830,142.25
  5. Step 5: Solve for x
    x = 12,609,830,142.25/67,943
  6. Step 6: Final answer
    x = 185,594.25

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.