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Finding the Third Proportional to 55,981.13 and 82,319.63

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Solution

The third proportional to 55,981.13 and 82,319.63 is: 121,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,981.13 : 82,319.63 = 82,319.63 : x
  2. Step 2: Convert to fraction form
    55,981.13/82,319.63 = 82,319.63/x
  3. Step 3: Cross multiply
    55,981.13x = 82,319.63 × 82,319.63
  4. Step 4: Simplify right side
    55,981.13x = 6,776,520,660.14
  5. Step 5: Solve for x
    x = 6,776,520,660.14/55,981.13
  6. Step 6: Final answer
    x = 121,050.10

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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.