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Finding the Third Proportional to 104,537 and 157,041

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Solution

The third proportional to 104,537 and 157,041 is: 235,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,537 : 157,041 = 157,041 : x
  2. Step 2: Convert to fraction form
    104,537/157,041 = 157,041/x
  3. Step 3: Cross multiply
    104,537x = 157,041 × 157,041
  4. Step 4: Simplify right side
    104,537x = 24,661,875,681
  5. Step 5: Solve for x
    x = 24,661,875,681/104,537
  6. Step 6: Final answer
    x = 235,915.28

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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.