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Finding the Third Proportional to 53,700 and 126,358

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Solution

The third proportional to 53,700 and 126,358 is: 297,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,700 : 126,358 = 126,358 : x
  2. Step 2: Convert to fraction form
    53,700/126,358 = 126,358/x
  3. Step 3: Cross multiply
    53,700x = 126,358 × 126,358
  4. Step 4: Simplify right side
    53,700x = 15,966,344,164
  5. Step 5: Solve for x
    x = 15,966,344,164/53,700
  6. Step 6: Final answer
    x = 297,324.84

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.