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Finding the Third Proportional to 67,176 and 103,572

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Solution

The third proportional to 67,176 and 103,572 is: 159,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,176 : 103,572 = 103,572 : x
  2. Step 2: Convert to fraction form
    67,176/103,572 = 103,572/x
  3. Step 3: Cross multiply
    67,176x = 103,572 × 103,572
  4. Step 4: Simplify right side
    67,176x = 10,727,159,184
  5. Step 5: Solve for x
    x = 10,727,159,184/67,176
  6. Step 6: Final answer
    x = 159,687.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.