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Finding the Third Proportional to 39,130 and 83,119

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Solution

The third proportional to 39,130 and 83,119 is: 176,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,130 : 83,119 = 83,119 : x
  2. Step 2: Convert to fraction form
    39,130/83,119 = 83,119/x
  3. Step 3: Cross multiply
    39,130x = 83,119 × 83,119
  4. Step 4: Simplify right side
    39,130x = 6,908,768,161
  5. Step 5: Solve for x
    x = 6,908,768,161/39,130
  6. Step 6: Final answer
    x = 176,559.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.