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Finding the Third Proportional to 104,556 and 157,808

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Solution

The third proportional to 104,556 and 157,808 is: 238,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,556 : 157,808 = 157,808 : x
  2. Step 2: Convert to fraction form
    104,556/157,808 = 157,808/x
  3. Step 3: Cross multiply
    104,556x = 157,808 × 157,808
  4. Step 4: Simplify right side
    104,556x = 24,903,364,864
  5. Step 5: Solve for x
    x = 24,903,364,864/104,556
  6. Step 6: Final answer
    x = 238,182.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.