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Finding the Third Proportional to 53,586 and 84,776.63

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Solution

The third proportional to 53,586 and 84,776.63 is: 134,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586 : 84,776.63 = 84,776.63 : x
  2. Step 2: Convert to fraction form
    53,586/84,776.63 = 84,776.63/x
  3. Step 3: Cross multiply
    53,586x = 84,776.63 × 84,776.63
  4. Step 4: Simplify right side
    53,586x = 7,187,076,146.39
  5. Step 5: Solve for x
    x = 7,187,076,146.39/53,586
  6. Step 6: Final answer
    x = 134,122.27

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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.