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Finding the Third Proportional to 71,960 and 168,072

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Solution

The third proportional to 71,960 and 168,072 is: 392,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,960 : 168,072 = 168,072 : x
  2. Step 2: Convert to fraction form
    71,960/168,072 = 168,072/x
  3. Step 3: Cross multiply
    71,960x = 168,072 × 168,072
  4. Step 4: Simplify right side
    71,960x = 28,248,197,184
  5. Step 5: Solve for x
    x = 28,248,197,184/71,960
  6. Step 6: Final answer
    x = 392,554.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.