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Finding the Third Proportional to 102,260 and 149,946

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Solution

The third proportional to 102,260 and 149,946 is: 219,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,260 : 149,946 = 149,946 : x
  2. Step 2: Convert to fraction form
    102,260/149,946 = 149,946/x
  3. Step 3: Cross multiply
    102,260x = 149,946 × 149,946
  4. Step 4: Simplify right side
    102,260x = 22,483,802,916
  5. Step 5: Solve for x
    x = 22,483,802,916/102,260
  6. Step 6: Final answer
    x = 219,868.99

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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.