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Finding the Third Proportional to 71,312 and 113,016

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Solution

The third proportional to 71,312 and 113,016 is: 179,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312 : 113,016 = 113,016 : x
  2. Step 2: Convert to fraction form
    71,312/113,016 = 113,016/x
  3. Step 3: Cross multiply
    71,312x = 113,016 × 113,016
  4. Step 4: Simplify right side
    71,312x = 12,772,616,256
  5. Step 5: Solve for x
    x = 12,772,616,256/71,312
  6. Step 6: Final answer
    x = 179,108.93

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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.