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Finding the Third Proportional to 28,153 and 61,174

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Solution

The third proportional to 28,153 and 61,174 is: 132,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,153 : 61,174 = 61,174 : x
  2. Step 2: Convert to fraction form
    28,153/61,174 = 61,174/x
  3. Step 3: Cross multiply
    28,153x = 61,174 × 61,174
  4. Step 4: Simplify right side
    28,153x = 3,742,258,276
  5. Step 5: Solve for x
    x = 3,742,258,276/28,153
  6. Step 6: Final answer
    x = 132,925.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.