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Finding the Third Proportional to 72,116 and 107,572

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Solution

The third proportional to 72,116 and 107,572 is: 160,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,116 : 107,572 = 107,572 : x
  2. Step 2: Convert to fraction form
    72,116/107,572 = 107,572/x
  3. Step 3: Cross multiply
    72,116x = 107,572 × 107,572
  4. Step 4: Simplify right side
    72,116x = 11,571,735,184
  5. Step 5: Solve for x
    x = 11,571,735,184/72,116
  6. Step 6: Final answer
    x = 160,460.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.