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Finding the Third Proportional to 71,051 and 153,487

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Solution

The third proportional to 71,051 and 153,487 is: 331,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,051 : 153,487 = 153,487 : x
  2. Step 2: Convert to fraction form
    71,051/153,487 = 153,487/x
  3. Step 3: Cross multiply
    71,051x = 153,487 × 153,487
  4. Step 4: Simplify right side
    71,051x = 23,558,259,169
  5. Step 5: Solve for x
    x = 23,558,259,169/71,051
  6. Step 6: Final answer
    x = 331,568.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.