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Finding the Third Proportional to 62,825.50 and 136,946.50

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Solution

The third proportional to 62,825.50 and 136,946.50 is: 298,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,825.50 : 136,946.50 = 136,946.50 : x
  2. Step 2: Convert to fraction form
    62,825.50/136,946.50 = 136,946.50/x
  3. Step 3: Cross multiply
    62,825.50x = 136,946.50 × 136,946.50
  4. Step 4: Simplify right side
    62,825.50x = 18,754,343,862.25
  5. Step 5: Solve for x
    x = 18,754,343,862.25/62,825.50
  6. Step 6: Final answer
    x = 298,514.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.