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Finding the Third Proportional to 132,922 and 189,590

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Solution

The third proportional to 132,922 and 189,590 is: 270,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,922 : 189,590 = 189,590 : x
  2. Step 2: Convert to fraction form
    132,922/189,590 = 189,590/x
  3. Step 3: Cross multiply
    132,922x = 189,590 × 189,590
  4. Step 4: Simplify right side
    132,922x = 35,944,368,100
  5. Step 5: Solve for x
    x = 35,944,368,100/132,922
  6. Step 6: Final answer
    x = 270,417.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.