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Finding the Third Proportional to 62,368 and 95,858

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Solution

The third proportional to 62,368 and 95,858 is: 147,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,368 : 95,858 = 95,858 : x
  2. Step 2: Convert to fraction form
    62,368/95,858 = 95,858/x
  3. Step 3: Cross multiply
    62,368x = 95,858 × 95,858
  4. Step 4: Simplify right side
    62,368x = 9,188,756,164
  5. Step 5: Solve for x
    x = 9,188,756,164/62,368
  6. Step 6: Final answer
    x = 147,331.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.