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Finding the Third Proportional to 62,352 and 135,072

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Solution

The third proportional to 62,352 and 135,072 is: 292,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,352 : 135,072 = 135,072 : x
  2. Step 2: Convert to fraction form
    62,352/135,072 = 135,072/x
  3. Step 3: Cross multiply
    62,352x = 135,072 × 135,072
  4. Step 4: Simplify right side
    62,352x = 18,244,445,184
  5. Step 5: Solve for x
    x = 18,244,445,184/62,352
  6. Step 6: Final answer
    x = 292,604.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.