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Finding the Third Proportional to 136,075.50 and 214,548

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Solution

The third proportional to 136,075.50 and 214,548 is: 338,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,075.50 : 214,548 = 214,548 : x
  2. Step 2: Convert to fraction form
    136,075.50/214,548 = 214,548/x
  3. Step 3: Cross multiply
    136,075.50x = 214,548 × 214,548
  4. Step 4: Simplify right side
    136,075.50x = 46,030,844,304
  5. Step 5: Solve for x
    x = 46,030,844,304/136,075.50
  6. Step 6: Final answer
    x = 338,274.30

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.