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Finding the Third Proportional to 72,079.88 and 114,782.06

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Solution

The third proportional to 72,079.88 and 114,782.06 is: 182,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,079.88 : 114,782.06 = 114,782.06 : x
  2. Step 2: Convert to fraction form
    72,079.88/114,782.06 = 114,782.06/x
  3. Step 3: Cross multiply
    72,079.88x = 114,782.06 × 114,782.06
  4. Step 4: Simplify right side
    72,079.88x = 13,174,921,871.75
  5. Step 5: Solve for x
    x = 13,174,921,871.75/72,079.88
  6. Step 6: Final answer
    x = 182,782.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.