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Finding the Third Proportional to 104,548 and 157,057

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Solution

The third proportional to 104,548 and 157,057 is: 235,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,548 : 157,057 = 157,057 : x
  2. Step 2: Convert to fraction form
    104,548/157,057 = 157,057/x
  3. Step 3: Cross multiply
    104,548x = 157,057 × 157,057
  4. Step 4: Simplify right side
    104,548x = 24,666,901,249
  5. Step 5: Solve for x
    x = 24,666,901,249/104,548
  6. Step 6: Final answer
    x = 235,938.53

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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.