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Finding the Third Proportional to 39,178 and 59,685

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Solution

The third proportional to 39,178 and 59,685 is: 90,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 59,685 = 59,685 : x
  2. Step 2: Convert to fraction form
    39,178/59,685 = 59,685/x
  3. Step 3: Cross multiply
    39,178x = 59,685 × 59,685
  4. Step 4: Simplify right side
    39,178x = 3,562,299,225
  5. Step 5: Solve for x
    x = 3,562,299,225/39,178
  6. Step 6: Final answer
    x = 90,926.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.