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Finding the Third Proportional to 92,457 and 132,117

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Solution

The third proportional to 92,457 and 132,117 is: 188,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,457 : 132,117 = 132,117 : x
  2. Step 2: Convert to fraction form
    92,457/132,117 = 132,117/x
  3. Step 3: Cross multiply
    92,457x = 132,117 × 132,117
  4. Step 4: Simplify right side
    92,457x = 17,454,901,689
  5. Step 5: Solve for x
    x = 17,454,901,689/92,457
  6. Step 6: Final answer
    x = 188,789.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.