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Finding the Third Proportional to 98,604 and 147,736

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Solution

The third proportional to 98,604 and 147,736 is: 221,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,604 : 147,736 = 147,736 : x
  2. Step 2: Convert to fraction form
    98,604/147,736 = 147,736/x
  3. Step 3: Cross multiply
    98,604x = 147,736 × 147,736
  4. Step 4: Simplify right side
    98,604x = 21,825,925,696
  5. Step 5: Solve for x
    x = 21,825,925,696/98,604
  6. Step 6: Final answer
    x = 221,349.29

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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.