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Finding the Third Proportional to 98,527 and 147,588

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Solution

The third proportional to 98,527 and 147,588 is: 221,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,527 : 147,588 = 147,588 : x
  2. Step 2: Convert to fraction form
    98,527/147,588 = 147,588/x
  3. Step 3: Cross multiply
    98,527x = 147,588 × 147,588
  4. Step 4: Simplify right side
    98,527x = 21,782,217,744
  5. Step 5: Solve for x
    x = 21,782,217,744/98,527
  6. Step 6: Final answer
    x = 221,078.67

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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.