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Finding the Third Proportional to 39,088.50 and 92,178

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Solution

The third proportional to 39,088.50 and 92,178 is: 217,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,088.50 : 92,178 = 92,178 : x
  2. Step 2: Convert to fraction form
    39,088.50/92,178 = 92,178/x
  3. Step 3: Cross multiply
    39,088.50x = 92,178 × 92,178
  4. Step 4: Simplify right side
    39,088.50x = 8,496,783,684
  5. Step 5: Solve for x
    x = 8,496,783,684/39,088.50
  6. Step 6: Final answer
    x = 217,372.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.