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Finding the Third Proportional to 78,691 and 169,946

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Solution

The third proportional to 78,691 and 169,946 is: 367,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,691 : 169,946 = 169,946 : x
  2. Step 2: Convert to fraction form
    78,691/169,946 = 169,946/x
  3. Step 3: Cross multiply
    78,691x = 169,946 × 169,946
  4. Step 4: Simplify right side
    78,691x = 28,881,642,916
  5. Step 5: Solve for x
    x = 28,881,642,916/78,691
  6. Step 6: Final answer
    x = 367,026.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.