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Finding the Third Proportional to 53,000 and 112,318

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Solution

The third proportional to 53,000 and 112,318 is: 238,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000 : 112,318 = 112,318 : x
  2. Step 2: Convert to fraction form
    53,000/112,318 = 112,318/x
  3. Step 3: Cross multiply
    53,000x = 112,318 × 112,318
  4. Step 4: Simplify right side
    53,000x = 12,615,333,124
  5. Step 5: Solve for x
    x = 12,615,333,124/53,000
  6. Step 6: Final answer
    x = 238,025.15

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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.