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Finding the Third Proportional to 118,130 and 170,571

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Solution

The third proportional to 118,130 and 170,571 is: 246,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,130 : 170,571 = 170,571 : x
  2. Step 2: Convert to fraction form
    118,130/170,571 = 170,571/x
  3. Step 3: Cross multiply
    118,130x = 170,571 × 170,571
  4. Step 4: Simplify right side
    118,130x = 29,094,466,041
  5. Step 5: Solve for x
    x = 29,094,466,041/118,130
  6. Step 6: Final answer
    x = 246,291.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.