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Finding the Third Proportional to 110,598 and 170,094

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Solution

The third proportional to 110,598 and 170,094 is: 261,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,598 : 170,094 = 170,094 : x
  2. Step 2: Convert to fraction form
    110,598/170,094 = 170,094/x
  3. Step 3: Cross multiply
    110,598x = 170,094 × 170,094
  4. Step 4: Simplify right side
    110,598x = 28,931,968,836
  5. Step 5: Solve for x
    x = 28,931,968,836/110,598
  6. Step 6: Final answer
    x = 261,595.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.