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Finding the Third Proportional to 57,432 and 119,784

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Solution

The third proportional to 57,432 and 119,784 is: 249,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,432 : 119,784 = 119,784 : x
  2. Step 2: Convert to fraction form
    57,432/119,784 = 119,784/x
  3. Step 3: Cross multiply
    57,432x = 119,784 × 119,784
  4. Step 4: Simplify right side
    57,432x = 14,348,206,656
  5. Step 5: Solve for x
    x = 14,348,206,656/57,432
  6. Step 6: Final answer
    x = 249,829.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.