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Finding the Third Proportional to 61,106.91 and 93,479.06

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Solution

The third proportional to 61,106.91 and 93,479.06 is: 143,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,106.91 : 93,479.06 = 93,479.06 : x
  2. Step 2: Convert to fraction form
    61,106.91/93,479.06 = 93,479.06/x
  3. Step 3: Cross multiply
    61,106.91x = 93,479.06 × 93,479.06
  4. Step 4: Simplify right side
    61,106.91x = 8,738,335,125.88
  5. Step 5: Solve for x
    x = 8,738,335,125.88/61,106.91
  6. Step 6: Final answer
    x = 143,000.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.