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Finding the Third Proportional to 93,465 and 140,169

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Solution

The third proportional to 93,465 and 140,169 is: 210,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,465 : 140,169 = 140,169 : x
  2. Step 2: Convert to fraction form
    93,465/140,169 = 140,169/x
  3. Step 3: Cross multiply
    93,465x = 140,169 × 140,169
  4. Step 4: Simplify right side
    93,465x = 19,647,348,561
  5. Step 5: Solve for x
    x = 19,647,348,561/93,465
  6. Step 6: Final answer
    x = 210,210.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.