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Finding the Third Proportional to 109,152 and 164,133

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Solution

The third proportional to 109,152 and 164,133 is: 246,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,152 : 164,133 = 164,133 : x
  2. Step 2: Convert to fraction form
    109,152/164,133 = 164,133/x
  3. Step 3: Cross multiply
    109,152x = 164,133 × 164,133
  4. Step 4: Simplify right side
    109,152x = 26,939,641,689
  5. Step 5: Solve for x
    x = 26,939,641,689/109,152
  6. Step 6: Final answer
    x = 246,808.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.