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Finding the Third Proportional to 39,128 and 83,114

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Solution

The third proportional to 39,128 and 83,114 is: 176,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,128 : 83,114 = 83,114 : x
  2. Step 2: Convert to fraction form
    39,128/83,114 = 83,114/x
  3. Step 3: Cross multiply
    39,128x = 83,114 × 83,114
  4. Step 4: Simplify right side
    39,128x = 6,907,936,996
  5. Step 5: Solve for x
    x = 6,907,936,996/39,128
  6. Step 6: Final answer
    x = 176,547.15

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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.