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Finding the Third Proportional to 102,084 and 149,664

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Solution

The third proportional to 102,084 and 149,664 is: 219,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,084 : 149,664 = 149,664 : x
  2. Step 2: Convert to fraction form
    102,084/149,664 = 149,664/x
  3. Step 3: Cross multiply
    102,084x = 149,664 × 149,664
  4. Step 4: Simplify right side
    102,084x = 22,399,312,896
  5. Step 5: Solve for x
    x = 22,399,312,896/102,084
  6. Step 6: Final answer
    x = 219,420.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.