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Finding the Third Proportional to 58,176 and 89,892

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Solution

The third proportional to 58,176 and 89,892 is: 138,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,176 : 89,892 = 89,892 : x
  2. Step 2: Convert to fraction form
    58,176/89,892 = 89,892/x
  3. Step 3: Cross multiply
    58,176x = 89,892 × 89,892
  4. Step 4: Simplify right side
    58,176x = 8,080,571,664
  5. Step 5: Solve for x
    x = 8,080,571,664/58,176
  6. Step 6: Final answer
    x = 138,898.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.