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Finding the Third Proportional to 131,260 and 202,002

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Solution

The third proportional to 131,260 and 202,002 is: 310,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,260 : 202,002 = 202,002 : x
  2. Step 2: Convert to fraction form
    131,260/202,002 = 202,002/x
  3. Step 3: Cross multiply
    131,260x = 202,002 × 202,002
  4. Step 4: Simplify right side
    131,260x = 40,804,808,004
  5. Step 5: Solve for x
    x = 40,804,808,004/131,260
  6. Step 6: Final answer
    x = 310,870.09

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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.