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Finding the Third Proportional to 71,528 and 106,444

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Solution

The third proportional to 71,528 and 106,444 is: 158,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,528 : 106,444 = 106,444 : x
  2. Step 2: Convert to fraction form
    71,528/106,444 = 106,444/x
  3. Step 3: Cross multiply
    71,528x = 106,444 × 106,444
  4. Step 4: Simplify right side
    71,528x = 11,330,325,136
  5. Step 5: Solve for x
    x = 11,330,325,136/71,528
  6. Step 6: Final answer
    x = 158,404.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.