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Finding the Third Proportional to 142,382 and 193,071

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Solution

The third proportional to 142,382 and 193,071 is: 261,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382 : 193,071 = 193,071 : x
  2. Step 2: Convert to fraction form
    142,382/193,071 = 193,071/x
  3. Step 3: Cross multiply
    142,382x = 193,071 × 193,071
  4. Step 4: Simplify right side
    142,382x = 37,276,411,041
  5. Step 5: Solve for x
    x = 37,276,411,041/142,382
  6. Step 6: Final answer
    x = 261,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.