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Finding the Third Proportional to 62,870 and 83,935

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Solution

The third proportional to 62,870 and 83,935 is: 112,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,870 : 83,935 = 83,935 : x
  2. Step 2: Convert to fraction form
    62,870/83,935 = 83,935/x
  3. Step 3: Cross multiply
    62,870x = 83,935 × 83,935
  4. Step 4: Simplify right side
    62,870x = 7,045,084,225
  5. Step 5: Solve for x
    x = 7,045,084,225/62,870
  6. Step 6: Final answer
    x = 112,057.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.