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Finding the Third Proportional to 99,512 and 157,568

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Solution

The third proportional to 99,512 and 157,568 is: 249,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,512 : 157,568 = 157,568 : x
  2. Step 2: Convert to fraction form
    99,512/157,568 = 157,568/x
  3. Step 3: Cross multiply
    99,512x = 157,568 × 157,568
  4. Step 4: Simplify right side
    99,512x = 24,827,674,624
  5. Step 5: Solve for x
    x = 24,827,674,624/99,512
  6. Step 6: Final answer
    x = 249,494.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.