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Finding the Third Proportional to 83,670 and 119,271

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Solution

The third proportional to 83,670 and 119,271 is: 170,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670 : 119,271 = 119,271 : x
  2. Step 2: Convert to fraction form
    83,670/119,271 = 119,271/x
  3. Step 3: Cross multiply
    83,670x = 119,271 × 119,271
  4. Step 4: Simplify right side
    83,670x = 14,225,571,441
  5. Step 5: Solve for x
    x = 14,225,571,441/83,670
  6. Step 6: Final answer
    x = 170,019.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.