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Finding the Third Proportional to 55,364 and 88,137

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Solution

The third proportional to 55,364 and 88,137 is: 140,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,364 : 88,137 = 88,137 : x
  2. Step 2: Convert to fraction form
    55,364/88,137 = 88,137/x
  3. Step 3: Cross multiply
    55,364x = 88,137 × 88,137
  4. Step 4: Simplify right side
    55,364x = 7,768,130,769
  5. Step 5: Solve for x
    x = 7,768,130,769/55,364
  6. Step 6: Final answer
    x = 140,310.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.