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Finding the Third Proportional to 59,184 and 94,176

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Solution

The third proportional to 59,184 and 94,176 is: 149,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,184 : 94,176 = 94,176 : x
  2. Step 2: Convert to fraction form
    59,184/94,176 = 94,176/x
  3. Step 3: Cross multiply
    59,184x = 94,176 × 94,176
  4. Step 4: Simplify right side
    59,184x = 8,869,118,976
  5. Step 5: Solve for x
    x = 8,869,118,976/59,184
  6. Step 6: Final answer
    x = 149,856.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.