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Finding the Third Proportional to 71,356 and 147,032

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Solution

The third proportional to 71,356 and 147,032 is: 302,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,356 : 147,032 = 147,032 : x
  2. Step 2: Convert to fraction form
    71,356/147,032 = 147,032/x
  3. Step 3: Cross multiply
    71,356x = 147,032 × 147,032
  4. Step 4: Simplify right side
    71,356x = 21,618,409,024
  5. Step 5: Solve for x
    x = 21,618,409,024/71,356
  6. Step 6: Final answer
    x = 302,965.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.