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Finding the Third Proportional to 58,286.14 and 92,684.14

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Solution

The third proportional to 58,286.14 and 92,684.14 is: 147,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,286.14 : 92,684.14 = 92,684.14 : x
  2. Step 2: Convert to fraction form
    58,286.14/92,684.14 = 92,684.14/x
  3. Step 3: Cross multiply
    58,286.14x = 92,684.14 × 92,684.14
  4. Step 4: Simplify right side
    58,286.14x = 8,590,349,120.10
  5. Step 5: Solve for x
    x = 8,590,349,120.10/58,286.14
  6. Step 6: Final answer
    x = 147,382.37

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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.