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Finding the Third Proportional to 102,412 and 158,946

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Solution

The third proportional to 102,412 and 158,946 is: 246,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,412 : 158,946 = 158,946 : x
  2. Step 2: Convert to fraction form
    102,412/158,946 = 158,946/x
  3. Step 3: Cross multiply
    102,412x = 158,946 × 158,946
  4. Step 4: Simplify right side
    102,412x = 25,263,830,916
  5. Step 5: Solve for x
    x = 25,263,830,916/102,412
  6. Step 6: Final answer
    x = 246,688.19

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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.