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Finding the Third Proportional to 76,324 and 112,277

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Solution

The third proportional to 76,324 and 112,277 is: 165,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,324 : 112,277 = 112,277 : x
  2. Step 2: Convert to fraction form
    76,324/112,277 = 112,277/x
  3. Step 3: Cross multiply
    76,324x = 112,277 × 112,277
  4. Step 4: Simplify right side
    76,324x = 12,606,124,729
  5. Step 5: Solve for x
    x = 12,606,124,729/76,324
  6. Step 6: Final answer
    x = 165,165.93

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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.