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Finding the Third Proportional to 98,192 and 153,606

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Solution

The third proportional to 98,192 and 153,606 is: 240,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,192 : 153,606 = 153,606 : x
  2. Step 2: Convert to fraction form
    98,192/153,606 = 153,606/x
  3. Step 3: Cross multiply
    98,192x = 153,606 × 153,606
  4. Step 4: Simplify right side
    98,192x = 23,594,803,236
  5. Step 5: Solve for x
    x = 23,594,803,236/98,192
  6. Step 6: Final answer
    x = 240,292.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.