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Finding the Third Proportional to 82,028 and 128,506

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Solution

The third proportional to 82,028 and 128,506 is: 201,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,028 : 128,506 = 128,506 : x
  2. Step 2: Convert to fraction form
    82,028/128,506 = 128,506/x
  3. Step 3: Cross multiply
    82,028x = 128,506 × 128,506
  4. Step 4: Simplify right side
    82,028x = 16,513,792,036
  5. Step 5: Solve for x
    x = 16,513,792,036/82,028
  6. Step 6: Final answer
    x = 201,318.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.