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Finding the Third Proportional to 98,442 and 147,633

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Solution

The third proportional to 98,442 and 147,633 is: 221,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442 : 147,633 = 147,633 : x
  2. Step 2: Convert to fraction form
    98,442/147,633 = 147,633/x
  3. Step 3: Cross multiply
    98,442x = 147,633 × 147,633
  4. Step 4: Simplify right side
    98,442x = 21,795,502,689
  5. Step 5: Solve for x
    x = 21,795,502,689/98,442
  6. Step 6: Final answer
    x = 221,404.51

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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.