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Finding the Third Proportional to 109,382.48 and 164,075.63

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Solution

The third proportional to 109,382.48 and 164,075.63 is: 246,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.48 : 164,075.63 = 164,075.63 : x
  2. Step 2: Convert to fraction form
    109,382.48/164,075.63 = 164,075.63/x
  3. Step 3: Cross multiply
    109,382.48x = 164,075.63 × 164,075.63
  4. Step 4: Simplify right side
    109,382.48x = 26,920,810,719.14
  5. Step 5: Solve for x
    x = 26,920,810,719.14/109,382.48
  6. Step 6: Final answer
    x = 246,116.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.