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Finding the Third Proportional to 55,973.53 and 121,682.25

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Solution

The third proportional to 55,973.53 and 121,682.25 is: 264,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,973.53 : 121,682.25 = 121,682.25 : x
  2. Step 2: Convert to fraction form
    55,973.53/121,682.25 = 121,682.25/x
  3. Step 3: Cross multiply
    55,973.53x = 121,682.25 × 121,682.25
  4. Step 4: Simplify right side
    55,973.53x = 14,806,569,965.06
  5. Step 5: Solve for x
    x = 14,806,569,965.06/55,973.53
  6. Step 6: Final answer
    x = 264,528.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.