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Finding the Third Proportional to 52,010 and 78,314

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Solution

The third proportional to 52,010 and 78,314 is: 117,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010 : 78,314 = 78,314 : x
  2. Step 2: Convert to fraction form
    52,010/78,314 = 78,314/x
  3. Step 3: Cross multiply
    52,010x = 78,314 × 78,314
  4. Step 4: Simplify right side
    52,010x = 6,133,082,596
  5. Step 5: Solve for x
    x = 6,133,082,596/52,010
  6. Step 6: Final answer
    x = 117,921.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.