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Finding the Third Proportional to 55,888.10 and 86,343.79

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Solution

The third proportional to 55,888.10 and 86,343.79 is: 133,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,888.10 : 86,343.79 = 86,343.79 : x
  2. Step 2: Convert to fraction form
    55,888.10/86,343.79 = 86,343.79/x
  3. Step 3: Cross multiply
    55,888.10x = 86,343.79 × 86,343.79
  4. Step 4: Simplify right side
    55,888.10x = 7,455,249,235.11
  5. Step 5: Solve for x
    x = 7,455,249,235.11/55,888.10
  6. Step 6: Final answer
    x = 133,396.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.