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Finding the Third Proportional to 53,952 and 114,600

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Solution

The third proportional to 53,952 and 114,600 is: 243,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952 : 114,600 = 114,600 : x
  2. Step 2: Convert to fraction form
    53,952/114,600 = 114,600/x
  3. Step 3: Cross multiply
    53,952x = 114,600 × 114,600
  4. Step 4: Simplify right side
    53,952x = 13,133,160,000
  5. Step 5: Solve for x
    x = 13,133,160,000/53,952
  6. Step 6: Final answer
    x = 243,423.04

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