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Finding the Third Proportional to 52,717 and 84,316

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Solution

The third proportional to 52,717 and 84,316 is: 134,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,717 : 84,316 = 84,316 : x
  2. Step 2: Convert to fraction form
    52,717/84,316 = 84,316/x
  3. Step 3: Cross multiply
    52,717x = 84,316 × 84,316
  4. Step 4: Simplify right side
    52,717x = 7,109,187,856
  5. Step 5: Solve for x
    x = 7,109,187,856/52,717
  6. Step 6: Final answer
    x = 134,855.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.