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Finding the Third Proportional to 93,922 and 137,511

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Solution

The third proportional to 93,922 and 137,511 is: 201,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,922 : 137,511 = 137,511 : x
  2. Step 2: Convert to fraction form
    93,922/137,511 = 137,511/x
  3. Step 3: Cross multiply
    93,922x = 137,511 × 137,511
  4. Step 4: Simplify right side
    93,922x = 18,909,275,121
  5. Step 5: Solve for x
    x = 18,909,275,121/93,922
  6. Step 6: Final answer
    x = 201,329.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.