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Finding the Third Proportional to 76,307.81 and 165,746.06

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Solution

The third proportional to 76,307.81 and 165,746.06 is: 360,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.81 : 165,746.06 = 165,746.06 : x
  2. Step 2: Convert to fraction form
    76,307.81/165,746.06 = 165,746.06/x
  3. Step 3: Cross multiply
    76,307.81x = 165,746.06 × 165,746.06
  4. Step 4: Simplify right side
    76,307.81x = 27,471,757,234.25
  5. Step 5: Solve for x
    x = 27,471,757,234.25/76,307.81
  6. Step 6: Final answer
    x = 360,012.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.