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Finding the Third Proportional to 84,054 and 130,152

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Solution

The third proportional to 84,054 and 130,152 is: 201,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,054 : 130,152 = 130,152 : x
  2. Step 2: Convert to fraction form
    84,054/130,152 = 130,152/x
  3. Step 3: Cross multiply
    84,054x = 130,152 × 130,152
  4. Step 4: Simplify right side
    84,054x = 16,939,543,104
  5. Step 5: Solve for x
    x = 16,939,543,104/84,054
  6. Step 6: Final answer
    x = 201,531.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.