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Finding the Third Proportional to 57,030 and 124,617

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Solution

The third proportional to 57,030 and 124,617 is: 272,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,030 : 124,617 = 124,617 : x
  2. Step 2: Convert to fraction form
    57,030/124,617 = 124,617/x
  3. Step 3: Cross multiply
    57,030x = 124,617 × 124,617
  4. Step 4: Simplify right side
    57,030x = 15,529,396,689
  5. Step 5: Solve for x
    x = 15,529,396,689/57,030
  6. Step 6: Final answer
    x = 272,302.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.