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Finding the Third Proportional to 67,360 and 112,261

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Solution

The third proportional to 67,360 and 112,261 is: 187,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,360 : 112,261 = 112,261 : x
  2. Step 2: Convert to fraction form
    67,360/112,261 = 112,261/x
  3. Step 3: Cross multiply
    67,360x = 112,261 × 112,261
  4. Step 4: Simplify right side
    67,360x = 12,602,532,121
  5. Step 5: Solve for x
    x = 12,602,532,121/67,360
  6. Step 6: Final answer
    x = 187,092.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.