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Finding the Third Proportional to 55,802.25 and 124,058.25

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Solution

The third proportional to 55,802.25 and 124,058.25 is: 275,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.25 : 124,058.25 = 124,058.25 : x
  2. Step 2: Convert to fraction form
    55,802.25/124,058.25 = 124,058.25/x
  3. Step 3: Cross multiply
    55,802.25x = 124,058.25 × 124,058.25
  4. Step 4: Simplify right side
    55,802.25x = 15,390,449,393.06
  5. Step 5: Solve for x
    x = 15,390,449,393.06/55,802.25
  6. Step 6: Final answer
    x = 275,803.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.