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Finding the Third Proportional to 53,574 and 117,657

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Solution

The third proportional to 53,574 and 117,657 is: 258,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574 : 117,657 = 117,657 : x
  2. Step 2: Convert to fraction form
    53,574/117,657 = 117,657/x
  3. Step 3: Cross multiply
    53,574x = 117,657 × 117,657
  4. Step 4: Simplify right side
    53,574x = 13,843,169,649
  5. Step 5: Solve for x
    x = 13,843,169,649/53,574
  6. Step 6: Final answer
    x = 258,393.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.