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Finding the Third Proportional to 53,304 and 115,304

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Solution

The third proportional to 53,304 and 115,304 is: 249,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,304 : 115,304 = 115,304 : x
  2. Step 2: Convert to fraction form
    53,304/115,304 = 115,304/x
  3. Step 3: Cross multiply
    53,304x = 115,304 × 115,304
  4. Step 4: Simplify right side
    53,304x = 13,295,012,416
  5. Step 5: Solve for x
    x = 13,295,012,416/53,304
  6. Step 6: Final answer
    x = 249,418.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.