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Finding the Third Proportional to 78,261 and 116,931

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Solution

The third proportional to 78,261 and 116,931 is: 174,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,261 : 116,931 = 116,931 : x
  2. Step 2: Convert to fraction form
    78,261/116,931 = 116,931/x
  3. Step 3: Cross multiply
    78,261x = 116,931 × 116,931
  4. Step 4: Simplify right side
    78,261x = 13,672,858,761
  5. Step 5: Solve for x
    x = 13,672,858,761/78,261
  6. Step 6: Final answer
    x = 174,708.46

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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.