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Finding the Third Proportional to 55,252.50 and 84,978

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Solution

The third proportional to 55,252.50 and 84,978 is: 130,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,252.50 : 84,978 = 84,978 : x
  2. Step 2: Convert to fraction form
    55,252.50/84,978 = 84,978/x
  3. Step 3: Cross multiply
    55,252.50x = 84,978 × 84,978
  4. Step 4: Simplify right side
    55,252.50x = 7,221,260,484
  5. Step 5: Solve for x
    x = 7,221,260,484/55,252.50
  6. Step 6: Final answer
    x = 130,695.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.