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Finding the Third Proportional to 72,050.63 and 115,102.69

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Solution

The third proportional to 72,050.63 and 115,102.69 is: 183,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,050.63 : 115,102.69 = 115,102.69 : x
  2. Step 2: Convert to fraction form
    72,050.63/115,102.69 = 115,102.69/x
  3. Step 3: Cross multiply
    72,050.63x = 115,102.69 × 115,102.69
  4. Step 4: Simplify right side
    72,050.63x = 13,248,628,669.72
  5. Step 5: Solve for x
    x = 13,248,628,669.72/72,050.63
  6. Step 6: Final answer
    x = 183,879.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.