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Finding the Third Proportional to 54,702 and 89,316

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Solution

The third proportional to 54,702 and 89,316 is: 145,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702 : 89,316 = 89,316 : x
  2. Step 2: Convert to fraction form
    54,702/89,316 = 89,316/x
  3. Step 3: Cross multiply
    54,702x = 89,316 × 89,316
  4. Step 4: Simplify right side
    54,702x = 7,977,347,856
  5. Step 5: Solve for x
    x = 7,977,347,856/54,702
  6. Step 6: Final answer
    x = 145,832.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.