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Finding the Third Proportional to 53,740 and 115,248

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Solution

The third proportional to 53,740 and 115,248 is: 247,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,740 : 115,248 = 115,248 : x
  2. Step 2: Convert to fraction form
    53,740/115,248 = 115,248/x
  3. Step 3: Cross multiply
    53,740x = 115,248 × 115,248
  4. Step 4: Simplify right side
    53,740x = 13,282,101,504
  5. Step 5: Solve for x
    x = 13,282,101,504/53,740
  6. Step 6: Final answer
    x = 247,154.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.