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Finding the Third Proportional to 67,370 and 105,376

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Solution

The third proportional to 67,370 and 105,376 is: 164,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,370 : 105,376 = 105,376 : x
  2. Step 2: Convert to fraction form
    67,370/105,376 = 105,376/x
  3. Step 3: Cross multiply
    67,370x = 105,376 × 105,376
  4. Step 4: Simplify right side
    67,370x = 11,104,101,376
  5. Step 5: Solve for x
    x = 11,104,101,376/67,370
  6. Step 6: Final answer
    x = 164,822.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.