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Finding the Third Proportional to 93,248 and 143,412

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Solution

The third proportional to 93,248 and 143,412 is: 220,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,248 : 143,412 = 143,412 : x
  2. Step 2: Convert to fraction form
    93,248/143,412 = 143,412/x
  3. Step 3: Cross multiply
    93,248x = 143,412 × 143,412
  4. Step 4: Simplify right side
    93,248x = 20,567,001,744
  5. Step 5: Solve for x
    x = 20,567,001,744/93,248
  6. Step 6: Final answer
    x = 220,562.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.