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Finding the Third Proportional to 76,310 and 112,258

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Solution

The third proportional to 76,310 and 112,258 is: 165,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,310 : 112,258 = 112,258 : x
  2. Step 2: Convert to fraction form
    76,310/112,258 = 112,258/x
  3. Step 3: Cross multiply
    76,310x = 112,258 × 112,258
  4. Step 4: Simplify right side
    76,310x = 12,601,858,564
  5. Step 5: Solve for x
    x = 12,601,858,564/76,310
  6. Step 6: Final answer
    x = 165,140.33

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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.