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Finding the Third Proportional to 58,176 and 88,956

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Solution

The third proportional to 58,176 and 88,956 is: 136,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,176 : 88,956 = 88,956 : x
  2. Step 2: Convert to fraction form
    58,176/88,956 = 88,956/x
  3. Step 3: Cross multiply
    58,176x = 88,956 × 88,956
  4. Step 4: Simplify right side
    58,176x = 7,913,169,936
  5. Step 5: Solve for x
    x = 7,913,169,936/58,176
  6. Step 6: Final answer
    x = 136,021.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.