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Finding the Third Proportional to 76,307.06 and 112,177.41

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Solution

The third proportional to 76,307.06 and 112,177.41 is: 164,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.06 : 112,177.41 = 112,177.41 : x
  2. Step 2: Convert to fraction form
    76,307.06/112,177.41 = 112,177.41/x
  3. Step 3: Cross multiply
    76,307.06x = 112,177.41 × 112,177.41
  4. Step 4: Simplify right side
    76,307.06x = 12,583,770,472.98
  5. Step 5: Solve for x
    x = 12,583,770,472.98/76,307.06
  6. Step 6: Final answer
    x = 164,909.64

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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.