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Finding the Third Proportional to 78,402 and 117,779

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Solution

The third proportional to 78,402 and 117,779 is: 176,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402 : 117,779 = 117,779 : x
  2. Step 2: Convert to fraction form
    78,402/117,779 = 117,779/x
  3. Step 3: Cross multiply
    78,402x = 117,779 × 117,779
  4. Step 4: Simplify right side
    78,402x = 13,871,892,841
  5. Step 5: Solve for x
    x = 13,871,892,841/78,402
  6. Step 6: Final answer
    x = 176,932.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.