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Finding the Third Proportional to 72,054 and 115,110

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Solution

The third proportional to 72,054 and 115,110 is: 183,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,054 : 115,110 = 115,110 : x
  2. Step 2: Convert to fraction form
    72,054/115,110 = 115,110/x
  3. Step 3: Cross multiply
    72,054x = 115,110 × 115,110
  4. Step 4: Simplify right side
    72,054x = 13,250,312,100
  5. Step 5: Solve for x
    x = 13,250,312,100/72,054
  6. Step 6: Final answer
    x = 183,894.19

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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.