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Finding the Third Proportional to 72,788 and 116,712

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Solution

The third proportional to 72,788 and 116,712 is: 187,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,788 : 116,712 = 116,712 : x
  2. Step 2: Convert to fraction form
    72,788/116,712 = 116,712/x
  3. Step 3: Cross multiply
    72,788x = 116,712 × 116,712
  4. Step 4: Simplify right side
    72,788x = 13,621,690,944
  5. Step 5: Solve for x
    x = 13,621,690,944/72,788
  6. Step 6: Final answer
    x = 187,141.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.