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Finding the Third Proportional to 42,705 and 65,091

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Solution

The third proportional to 42,705 and 65,091 is: 99,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705 : 65,091 = 65,091 : x
  2. Step 2: Convert to fraction form
    42,705/65,091 = 65,091/x
  3. Step 3: Cross multiply
    42,705x = 65,091 × 65,091
  4. Step 4: Simplify right side
    42,705x = 4,236,838,281
  5. Step 5: Solve for x
    x = 4,236,838,281/42,705
  6. Step 6: Final answer
    x = 99,211.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.