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Finding the Third Proportional to 71,261 and 153,943

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Solution

The third proportional to 71,261 and 153,943 is: 332,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,261 : 153,943 = 153,943 : x
  2. Step 2: Convert to fraction form
    71,261/153,943 = 153,943/x
  3. Step 3: Cross multiply
    71,261x = 153,943 × 153,943
  4. Step 4: Simplify right side
    71,261x = 23,698,447,249
  5. Step 5: Solve for x
    x = 23,698,447,249/71,261
  6. Step 6: Final answer
    x = 332,558.44

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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.