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Finding the Third Proportional to 72,774.56 and 115,722.94

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Solution

The third proportional to 72,774.56 and 115,722.94 is: 184,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774.56 : 115,722.94 = 115,722.94 : x
  2. Step 2: Convert to fraction form
    72,774.56/115,722.94 = 115,722.94/x
  3. Step 3: Cross multiply
    72,774.56x = 115,722.94 × 115,722.94
  4. Step 4: Simplify right side
    72,774.56x = 13,391,798,263.63
  5. Step 5: Solve for x
    x = 13,391,798,263.63/72,774.56
  6. Step 6: Final answer
    x = 184,017.57

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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.