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Finding the Third Proportional to 58,198 and 92,985

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Solution

The third proportional to 58,198 and 92,985 is: 148,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,198 : 92,985 = 92,985 : x
  2. Step 2: Convert to fraction form
    58,198/92,985 = 92,985/x
  3. Step 3: Cross multiply
    58,198x = 92,985 × 92,985
  4. Step 4: Simplify right side
    58,198x = 8,646,210,225
  5. Step 5: Solve for x
    x = 8,646,210,225/58,198
  6. Step 6: Final answer
    x = 148,565.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.