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Finding the Third Proportional to 75,502.76 and 105,830.30

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Solution

The third proportional to 75,502.76 and 105,830.30 is: 148,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,502.76 : 105,830.30 = 105,830.30 : x
  2. Step 2: Convert to fraction form
    75,502.76/105,830.30 = 105,830.30/x
  3. Step 3: Cross multiply
    75,502.76x = 105,830.30 × 105,830.30
  4. Step 4: Simplify right side
    75,502.76x = 11,200,051,736.65
  5. Step 5: Solve for x
    x = 11,200,051,736.65/75,502.76
  6. Step 6: Final answer
    x = 148,339.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.