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Finding the Third Proportional to 67,143 and 94,117

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Solution

The third proportional to 67,143 and 94,117 is: 131,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,143 : 94,117 = 94,117 : x
  2. Step 2: Convert to fraction form
    67,143/94,117 = 94,117/x
  3. Step 3: Cross multiply
    67,143x = 94,117 × 94,117
  4. Step 4: Simplify right side
    67,143x = 8,858,009,689
  5. Step 5: Solve for x
    x = 8,858,009,689/67,143
  6. Step 6: Final answer
    x = 131,927.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.