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Finding the Third Proportional to 61,946 and 94,779

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Solution

The third proportional to 61,946 and 94,779 is: 145,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,946 : 94,779 = 94,779 : x
  2. Step 2: Convert to fraction form
    61,946/94,779 = 94,779/x
  3. Step 3: Cross multiply
    61,946x = 94,779 × 94,779
  4. Step 4: Simplify right side
    61,946x = 8,983,058,841
  5. Step 5: Solve for x
    x = 8,983,058,841/61,946
  6. Step 6: Final answer
    x = 145,014.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.