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Finding the Third Proportional to 78,929 and 169,090

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Solution

The third proportional to 78,929 and 169,090 is: 362,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,929 : 169,090 = 169,090 : x
  2. Step 2: Convert to fraction form
    78,929/169,090 = 169,090/x
  3. Step 3: Cross multiply
    78,929x = 169,090 × 169,090
  4. Step 4: Simplify right side
    78,929x = 28,591,428,100
  5. Step 5: Solve for x
    x = 28,591,428,100/78,929
  6. Step 6: Final answer
    x = 362,242.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.