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Finding the Third Proportional to 39,064.50 and 92,154

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Solution

The third proportional to 39,064.50 and 92,154 is: 217,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,064.50 : 92,154 = 92,154 : x
  2. Step 2: Convert to fraction form
    39,064.50/92,154 = 92,154/x
  3. Step 3: Cross multiply
    39,064.50x = 92,154 × 92,154
  4. Step 4: Simplify right side
    39,064.50x = 8,492,359,716
  5. Step 5: Solve for x
    x = 8,492,359,716/39,064.50
  6. Step 6: Final answer
    x = 217,393.28

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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.