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Finding the Third Proportional to 42,956 and 61,871

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Solution

The third proportional to 42,956 and 61,871 is: 89,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,956 : 61,871 = 61,871 : x
  2. Step 2: Convert to fraction form
    42,956/61,871 = 61,871/x
  3. Step 3: Cross multiply
    42,956x = 61,871 × 61,871
  4. Step 4: Simplify right side
    42,956x = 3,828,020,641
  5. Step 5: Solve for x
    x = 3,828,020,641/42,956
  6. Step 6: Final answer
    x = 89,114.92

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.