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Finding the Third Proportional to 89,088 and 125,316

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Solution

The third proportional to 89,088 and 125,316 is: 176,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,088 : 125,316 = 125,316 : x
  2. Step 2: Convert to fraction form
    89,088/125,316 = 125,316/x
  3. Step 3: Cross multiply
    89,088x = 125,316 × 125,316
  4. Step 4: Simplify right side
    89,088x = 15,704,099,856
  5. Step 5: Solve for x
    x = 15,704,099,856/89,088
  6. Step 6: Final answer
    x = 176,276.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.