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Finding the Third Proportional to 110,748 and 166,086

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Solution

The third proportional to 110,748 and 166,086 is: 249,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,748 : 166,086 = 166,086 : x
  2. Step 2: Convert to fraction form
    110,748/166,086 = 166,086/x
  3. Step 3: Cross multiply
    110,748x = 166,086 × 166,086
  4. Step 4: Simplify right side
    110,748x = 27,584,559,396
  5. Step 5: Solve for x
    x = 27,584,559,396/110,748
  6. Step 6: Final answer
    x = 249,075.01

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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.