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Finding the Third Proportional to 76,345 and 112,237

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Solution

The third proportional to 76,345 and 112,237 is: 165,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345 : 112,237 = 112,237 : x
  2. Step 2: Convert to fraction form
    76,345/112,237 = 112,237/x
  3. Step 3: Cross multiply
    76,345x = 112,237 × 112,237
  4. Step 4: Simplify right side
    76,345x = 12,597,144,169
  5. Step 5: Solve for x
    x = 12,597,144,169/76,345
  6. Step 6: Final answer
    x = 165,002.87

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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.