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Finding the Third Proportional to 78,916 and 122,657

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Solution

The third proportional to 78,916 and 122,657 is: 190,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,916 : 122,657 = 122,657 : x
  2. Step 2: Convert to fraction form
    78,916/122,657 = 122,657/x
  3. Step 3: Cross multiply
    78,916x = 122,657 × 122,657
  4. Step 4: Simplify right side
    78,916x = 15,044,739,649
  5. Step 5: Solve for x
    x = 15,044,739,649/78,916
  6. Step 6: Final answer
    x = 190,642.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.