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Finding the Third Proportional to 68,574 and 104,309

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Solution

The third proportional to 68,574 and 104,309 is: 158,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,574 : 104,309 = 104,309 : x
  2. Step 2: Convert to fraction form
    68,574/104,309 = 104,309/x
  3. Step 3: Cross multiply
    68,574x = 104,309 × 104,309
  4. Step 4: Simplify right side
    68,574x = 10,880,367,481
  5. Step 5: Solve for x
    x = 10,880,367,481/68,574
  6. Step 6: Final answer
    x = 158,666.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.