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Finding the Third Proportional to 72,610 and 114,106

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Solution

The third proportional to 72,610 and 114,106 is: 179,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,610 : 114,106 = 114,106 : x
  2. Step 2: Convert to fraction form
    72,610/114,106 = 114,106/x
  3. Step 3: Cross multiply
    72,610x = 114,106 × 114,106
  4. Step 4: Simplify right side
    72,610x = 13,020,179,236
  5. Step 5: Solve for x
    x = 13,020,179,236/72,610
  6. Step 6: Final answer
    x = 179,316.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.