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Finding the Third Proportional to 98,364 and 147,168

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Solution

The third proportional to 98,364 and 147,168 is: 220,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,364 : 147,168 = 147,168 : x
  2. Step 2: Convert to fraction form
    98,364/147,168 = 147,168/x
  3. Step 3: Cross multiply
    98,364x = 147,168 × 147,168
  4. Step 4: Simplify right side
    98,364x = 21,658,420,224
  5. Step 5: Solve for x
    x = 21,658,420,224/98,364
  6. Step 6: Final answer
    x = 220,186.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.