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Finding the Third Proportional to 104,692 and 157,614

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Solution

The third proportional to 104,692 and 157,614 is: 237,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,692 : 157,614 = 157,614 : x
  2. Step 2: Convert to fraction form
    104,692/157,614 = 157,614/x
  3. Step 3: Cross multiply
    104,692x = 157,614 × 157,614
  4. Step 4: Simplify right side
    104,692x = 24,842,172,996
  5. Step 5: Solve for x
    x = 24,842,172,996/104,692
  6. Step 6: Final answer
    x = 237,288.17

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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.