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Finding the Third Proportional to 53,145 and 112,288

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Solution

The third proportional to 53,145 and 112,288 is: 237,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,145 : 112,288 = 112,288 : x
  2. Step 2: Convert to fraction form
    53,145/112,288 = 112,288/x
  3. Step 3: Cross multiply
    53,145x = 112,288 × 112,288
  4. Step 4: Simplify right side
    53,145x = 12,608,594,944
  5. Step 5: Solve for x
    x = 12,608,594,944/53,145
  6. Step 6: Final answer
    x = 237,248.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.