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Finding the Third Proportional to 93,863 and 143,117

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Solution

The third proportional to 93,863 and 143,117 is: 218,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,863 : 143,117 = 143,117 : x
  2. Step 2: Convert to fraction form
    93,863/143,117 = 143,117/x
  3. Step 3: Cross multiply
    93,863x = 143,117 × 143,117
  4. Step 4: Simplify right side
    93,863x = 20,482,475,689
  5. Step 5: Solve for x
    x = 20,482,475,689/93,863
  6. Step 6: Final answer
    x = 218,216.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.