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Finding the Third Proportional to 82,590 and 121,941

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Solution

The third proportional to 82,590 and 121,941 is: 180,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,590 : 121,941 = 121,941 : x
  2. Step 2: Convert to fraction form
    82,590/121,941 = 121,941/x
  3. Step 3: Cross multiply
    82,590x = 121,941 × 121,941
  4. Step 4: Simplify right side
    82,590x = 14,869,607,481
  5. Step 5: Solve for x
    x = 14,869,607,481/82,590
  6. Step 6: Final answer
    x = 180,041.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.