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Finding the Third Proportional to 92,205 and 139,155

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Solution

The third proportional to 92,205 and 139,155 is: 210,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,205 : 139,155 = 139,155 : x
  2. Step 2: Convert to fraction form
    92,205/139,155 = 139,155/x
  3. Step 3: Cross multiply
    92,205x = 139,155 × 139,155
  4. Step 4: Simplify right side
    92,205x = 19,364,114,025
  5. Step 5: Solve for x
    x = 19,364,114,025/92,205
  6. Step 6: Final answer
    x = 210,011.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.