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Finding the Third Proportional to 55,973.53 and 82,308.66

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Solution

The third proportional to 55,973.53 and 82,308.66 is: 121,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,973.53 : 82,308.66 = 82,308.66 : x
  2. Step 2: Convert to fraction form
    55,973.53/82,308.66 = 82,308.66/x
  3. Step 3: Cross multiply
    55,973.53x = 82,308.66 × 82,308.66
  4. Step 4: Simplify right side
    55,973.53x = 6,774,714,893.68
  5. Step 5: Solve for x
    x = 6,774,714,893.68/55,973.53
  6. Step 6: Final answer
    x = 121,034.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.