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Finding the Third Proportional to 53,200.13 and 114,240.38

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Solution

The third proportional to 53,200.13 and 114,240.38 is: 245,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.13 : 114,240.38 = 114,240.38 : x
  2. Step 2: Convert to fraction form
    53,200.13/114,240.38 = 114,240.38/x
  3. Step 3: Cross multiply
    53,200.13x = 114,240.38 × 114,240.38
  4. Step 4: Simplify right side
    53,200.13x = 13,050,863,280.14
  5. Step 5: Solve for x
    x = 13,050,863,280.14/53,200.13
  6. Step 6: Final answer
    x = 245,316.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.