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Finding the Third Proportional to 53,023.50 and 77,753

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Solution

The third proportional to 53,023.50 and 77,753 is: 114,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,023.50 : 77,753 = 77,753 : x
  2. Step 2: Convert to fraction form
    53,023.50/77,753 = 77,753/x
  3. Step 3: Cross multiply
    53,023.50x = 77,753 × 77,753
  4. Step 4: Simplify right side
    53,023.50x = 6,045,529,009
  5. Step 5: Solve for x
    x = 6,045,529,009/53,023.50
  6. Step 6: Final answer
    x = 114,016.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.