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Finding the Third Proportional to 82,988 and 119,298

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Solution

The third proportional to 82,988 and 119,298 is: 171,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,988 : 119,298 = 119,298 : x
  2. Step 2: Convert to fraction form
    82,988/119,298 = 119,298/x
  3. Step 3: Cross multiply
    82,988x = 119,298 × 119,298
  4. Step 4: Simplify right side
    82,988x = 14,232,012,804
  5. Step 5: Solve for x
    x = 14,232,012,804/82,988
  6. Step 6: Final answer
    x = 171,494.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.