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Finding the Third Proportional to 56,143.50 and 84,443.06

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Solution

The third proportional to 56,143.50 and 84,443.06 is: 127,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.50 : 84,443.06 = 84,443.06 : x
  2. Step 2: Convert to fraction form
    56,143.50/84,443.06 = 84,443.06/x
  3. Step 3: Cross multiply
    56,143.50x = 84,443.06 × 84,443.06
  4. Step 4: Simplify right side
    56,143.50x = 7,130,630,804.38
  5. Step 5: Solve for x
    x = 7,130,630,804.38/56,143.50
  6. Step 6: Final answer
    x = 127,007.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.