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Finding the Third Proportional to 59,394 and 126,075.75

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Solution

The third proportional to 59,394 and 126,075.75 is: 267,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,394 : 126,075.75 = 126,075.75 : x
  2. Step 2: Convert to fraction form
    59,394/126,075.75 = 126,075.75/x
  3. Step 3: Cross multiply
    59,394x = 126,075.75 × 126,075.75
  4. Step 4: Simplify right side
    59,394x = 15,895,094,738.06
  5. Step 5: Solve for x
    x = 15,895,094,738.06/59,394
  6. Step 6: Final answer
    x = 267,621.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.