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Finding the Third Proportional to 82,146 and 119,391

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Solution

The third proportional to 82,146 and 119,391 is: 173,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146 : 119,391 = 119,391 : x
  2. Step 2: Convert to fraction form
    82,146/119,391 = 119,391/x
  3. Step 3: Cross multiply
    82,146x = 119,391 × 119,391
  4. Step 4: Simplify right side
    82,146x = 14,254,210,881
  5. Step 5: Solve for x
    x = 14,254,210,881/82,146
  6. Step 6: Final answer
    x = 173,522.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.