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Finding the Third Proportional to 65,092 and 134,072

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Solution

The third proportional to 65,092 and 134,072 is: 276,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092 : 134,072 = 134,072 : x
  2. Step 2: Convert to fraction form
    65,092/134,072 = 134,072/x
  3. Step 3: Cross multiply
    65,092x = 134,072 × 134,072
  4. Step 4: Simplify right side
    65,092x = 17,975,301,184
  5. Step 5: Solve for x
    x = 17,975,301,184/65,092
  6. Step 6: Final answer
    x = 276,152.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.