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Finding the Third Proportional to 53,362 and 79,935

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Solution

The third proportional to 53,362 and 79,935 is: 119,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,362 : 79,935 = 79,935 : x
  2. Step 2: Convert to fraction form
    53,362/79,935 = 79,935/x
  3. Step 3: Cross multiply
    53,362x = 79,935 × 79,935
  4. Step 4: Simplify right side
    53,362x = 6,389,604,225
  5. Step 5: Solve for x
    x = 6,389,604,225/53,362
  6. Step 6: Final answer
    x = 119,740.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.