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Finding the Third Proportional to 92,030 and 130,496

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Solution

The third proportional to 92,030 and 130,496 is: 185,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,030 : 130,496 = 130,496 : x
  2. Step 2: Convert to fraction form
    92,030/130,496 = 130,496/x
  3. Step 3: Cross multiply
    92,030x = 130,496 × 130,496
  4. Step 4: Simplify right side
    92,030x = 17,029,206,016
  5. Step 5: Solve for x
    x = 17,029,206,016/92,030
  6. Step 6: Final answer
    x = 185,039.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.