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Finding the Third Proportional to 147,041 and 157,430

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Solution

The third proportional to 147,041 and 157,430 is: 168,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,041 : 157,430 = 157,430 : x
  2. Step 2: Convert to fraction form
    147,041/157,430 = 157,430/x
  3. Step 3: Cross multiply
    147,041x = 157,430 × 157,430
  4. Step 4: Simplify right side
    147,041x = 24,784,204,900
  5. Step 5: Solve for x
    x = 24,784,204,900/147,041
  6. Step 6: Final answer
    x = 168,553.02

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.