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Finding the Third Proportional to 88,733 and 134,024

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Solution

The third proportional to 88,733 and 134,024 is: 202,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,733 : 134,024 = 134,024 : x
  2. Step 2: Convert to fraction form
    88,733/134,024 = 134,024/x
  3. Step 3: Cross multiply
    88,733x = 134,024 × 134,024
  4. Step 4: Simplify right side
    88,733x = 17,962,432,576
  5. Step 5: Solve for x
    x = 17,962,432,576/88,733
  6. Step 6: Final answer
    x = 202,432.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.