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Finding the Third Proportional to 98,523 and 147,582

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Solution

The third proportional to 98,523 and 147,582 is: 221,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523 : 147,582 = 147,582 : x
  2. Step 2: Convert to fraction form
    98,523/147,582 = 147,582/x
  3. Step 3: Cross multiply
    98,523x = 147,582 × 147,582
  4. Step 4: Simplify right side
    98,523x = 21,780,446,724
  5. Step 5: Solve for x
    x = 21,780,446,724/98,523
  6. Step 6: Final answer
    x = 221,069.67

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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.