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Finding the Third Proportional to 98,767 and 150,581

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Solution

The third proportional to 98,767 and 150,581 is: 229,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,767 : 150,581 = 150,581 : x
  2. Step 2: Convert to fraction form
    98,767/150,581 = 150,581/x
  3. Step 3: Cross multiply
    98,767x = 150,581 × 150,581
  4. Step 4: Simplify right side
    98,767x = 22,674,637,561
  5. Step 5: Solve for x
    x = 22,674,637,561/98,767
  6. Step 6: Final answer
    x = 229,577.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.