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Finding the Third Proportional to 54,316 and 82,516

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Solution

The third proportional to 54,316 and 82,516 is: 125,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,316 : 82,516 = 82,516 : x
  2. Step 2: Convert to fraction form
    54,316/82,516 = 82,516/x
  3. Step 3: Cross multiply
    54,316x = 82,516 × 82,516
  4. Step 4: Simplify right side
    54,316x = 6,808,890,256
  5. Step 5: Solve for x
    x = 6,808,890,256/54,316
  6. Step 6: Final answer
    x = 125,356.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.