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Finding the Third Proportional to 53,937 and 84,426

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Solution

The third proportional to 53,937 and 84,426 is: 132,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,937 : 84,426 = 84,426 : x
  2. Step 2: Convert to fraction form
    53,937/84,426 = 84,426/x
  3. Step 3: Cross multiply
    53,937x = 84,426 × 84,426
  4. Step 4: Simplify right side
    53,937x = 7,127,749,476
  5. Step 5: Solve for x
    x = 7,127,749,476/53,937
  6. Step 6: Final answer
    x = 132,149.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.