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Finding the Third Proportional to 53,590 and 84,783

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Solution

The third proportional to 53,590 and 84,783 is: 134,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,590 : 84,783 = 84,783 : x
  2. Step 2: Convert to fraction form
    53,590/84,783 = 84,783/x
  3. Step 3: Cross multiply
    53,590x = 84,783 × 84,783
  4. Step 4: Simplify right side
    53,590x = 7,188,157,089
  5. Step 5: Solve for x
    x = 7,188,157,089/53,590
  6. Step 6: Final answer
    x = 134,132.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.