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Finding the Third Proportional to 52,715 and 84,313

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Solution

The third proportional to 52,715 and 84,313 is: 134,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,715 : 84,313 = 84,313 : x
  2. Step 2: Convert to fraction form
    52,715/84,313 = 84,313/x
  3. Step 3: Cross multiply
    52,715x = 84,313 × 84,313
  4. Step 4: Simplify right side
    52,715x = 7,108,681,969
  5. Step 5: Solve for x
    x = 7,108,681,969/52,715
  6. Step 6: Final answer
    x = 134,851.22

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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.