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Finding the Third Proportional to 72,052 and 115,104.75

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Solution

The third proportional to 72,052 and 115,104.75 is: 183,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,052 : 115,104.75 = 115,104.75 : x
  2. Step 2: Convert to fraction form
    72,052/115,104.75 = 115,104.75/x
  3. Step 3: Cross multiply
    72,052x = 115,104.75 × 115,104.75
  4. Step 4: Simplify right side
    72,052x = 13,249,103,472.56
  5. Step 5: Solve for x
    x = 13,249,103,472.56/72,052
  6. Step 6: Final answer
    x = 183,882.52

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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.