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Finding the Third Proportional to 55,973.53 and 85,429.69

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Solution

The third proportional to 55,973.53 and 85,429.69 is: 130,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,973.53 : 85,429.69 = 85,429.69 : x
  2. Step 2: Convert to fraction form
    55,973.53/85,429.69 = 85,429.69/x
  3. Step 3: Cross multiply
    55,973.53x = 85,429.69 × 85,429.69
  4. Step 4: Simplify right side
    55,973.53x = 7,298,231,506.35
  5. Step 5: Solve for x
    x = 7,298,231,506.35/55,973.53
  6. Step 6: Final answer
    x = 130,387.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.