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Finding the Third Proportional to 101,604 and 155,334

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Solution

The third proportional to 101,604 and 155,334 is: 237,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,604 : 155,334 = 155,334 : x
  2. Step 2: Convert to fraction form
    101,604/155,334 = 155,334/x
  3. Step 3: Cross multiply
    101,604x = 155,334 × 155,334
  4. Step 4: Simplify right side
    101,604x = 24,128,651,556
  5. Step 5: Solve for x
    x = 24,128,651,556/101,604
  6. Step 6: Final answer
    x = 237,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.