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Finding the Third Proportional to 76,547.72 and 166,239.94

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Solution

The third proportional to 76,547.72 and 166,239.94 is: 361,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547.72 : 166,239.94 = 166,239.94 : x
  2. Step 2: Convert to fraction form
    76,547.72/166,239.94 = 166,239.94/x
  3. Step 3: Cross multiply
    76,547.72x = 166,239.94 × 166,239.94
  4. Step 4: Simplify right side
    76,547.72x = 27,635,716,820.00
  5. Step 5: Solve for x
    x = 27,635,716,820.00/76,547.72
  6. Step 6: Final answer
    x = 361,026.00

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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.