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Finding the Third Proportional to 102,075.19 and 146,716.31

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Solution

The third proportional to 102,075.19 and 146,716.31 is: 210,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.19 : 146,716.31 = 146,716.31 : x
  2. Step 2: Convert to fraction form
    102,075.19/146,716.31 = 146,716.31/x
  3. Step 3: Cross multiply
    102,075.19x = 146,716.31 × 146,716.31
  4. Step 4: Simplify right side
    102,075.19x = 21,525,676,353.60
  5. Step 5: Solve for x
    x = 21,525,676,353.60/102,075.19
  6. Step 6: Final answer
    x = 210,880.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.