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Finding the Third Proportional to 104,080 and 245,614

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Solution

The third proportional to 104,080 and 245,614 is: 579,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,080 : 245,614 = 245,614 : x
  2. Step 2: Convert to fraction form
    104,080/245,614 = 245,614/x
  3. Step 3: Cross multiply
    104,080x = 245,614 × 245,614
  4. Step 4: Simplify right side
    104,080x = 60,326,236,996
  5. Step 5: Solve for x
    x = 60,326,236,996/104,080
  6. Step 6: Final answer
    x = 579,614.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.