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Finding the Third Proportional to 71,454 and 113,046

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Solution

The third proportional to 71,454 and 113,046 is: 178,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454 : 113,046 = 113,046 : x
  2. Step 2: Convert to fraction form
    71,454/113,046 = 113,046/x
  3. Step 3: Cross multiply
    71,454x = 113,046 × 113,046
  4. Step 4: Simplify right side
    71,454x = 12,779,398,116
  5. Step 5: Solve for x
    x = 12,779,398,116/71,454
  6. Step 6: Final answer
    x = 178,847.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.