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Finding the Third Proportional to 62,386 and 136,838

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Solution

The third proportional to 62,386 and 136,838 is: 300,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,386 : 136,838 = 136,838 : x
  2. Step 2: Convert to fraction form
    62,386/136,838 = 136,838/x
  3. Step 3: Cross multiply
    62,386x = 136,838 × 136,838
  4. Step 4: Simplify right side
    62,386x = 18,724,638,244
  5. Step 5: Solve for x
    x = 18,724,638,244/62,386
  6. Step 6: Final answer
    x = 300,141.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.