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Finding the Third Proportional to 53,456 and 115,468

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Solution

The third proportional to 53,456 and 115,468 is: 249,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,456 : 115,468 = 115,468 : x
  2. Step 2: Convert to fraction form
    53,456/115,468 = 115,468/x
  3. Step 3: Cross multiply
    53,456x = 115,468 × 115,468
  4. Step 4: Simplify right side
    53,456x = 13,332,859,024
  5. Step 5: Solve for x
    x = 13,332,859,024/53,456
  6. Step 6: Final answer
    x = 249,417.45

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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.