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Finding the Third Proportional to 53,345 and 114,952

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Solution

The third proportional to 53,345 and 114,952 is: 247,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,345 : 114,952 = 114,952 : x
  2. Step 2: Convert to fraction form
    53,345/114,952 = 114,952/x
  3. Step 3: Cross multiply
    53,345x = 114,952 × 114,952
  4. Step 4: Simplify right side
    53,345x = 13,213,962,304
  5. Step 5: Solve for x
    x = 13,213,962,304/53,345
  6. Step 6: Final answer
    x = 247,707.61

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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.