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Finding the Third Proportional to 83,030 and 125,409

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Solution

The third proportional to 83,030 and 125,409 is: 189,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030 : 125,409 = 125,409 : x
  2. Step 2: Convert to fraction form
    83,030/125,409 = 125,409/x
  3. Step 3: Cross multiply
    83,030x = 125,409 × 125,409
  4. Step 4: Simplify right side
    83,030x = 15,727,417,281
  5. Step 5: Solve for x
    x = 15,727,417,281/83,030
  6. Step 6: Final answer
    x = 189,418.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.