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Finding the Third Proportional to 57,332 and 121,602

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Solution

The third proportional to 57,332 and 121,602 is: 257,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,332 : 121,602 = 121,602 : x
  2. Step 2: Convert to fraction form
    57,332/121,602 = 121,602/x
  3. Step 3: Cross multiply
    57,332x = 121,602 × 121,602
  4. Step 4: Simplify right side
    57,332x = 14,787,046,404
  5. Step 5: Solve for x
    x = 14,787,046,404/57,332
  6. Step 6: Final answer
    x = 257,919.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.