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Finding the Third Proportional to 76,075 and 111,295

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Solution

The third proportional to 76,075 and 111,295 is: 162,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,075 : 111,295 = 111,295 : x
  2. Step 2: Convert to fraction form
    76,075/111,295 = 111,295/x
  3. Step 3: Cross multiply
    76,075x = 111,295 × 111,295
  4. Step 4: Simplify right side
    76,075x = 12,386,577,025
  5. Step 5: Solve for x
    x = 12,386,577,025/76,075
  6. Step 6: Final answer
    x = 162,820.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.