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Finding the Third Proportional to 53,432 and 82,729

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Solution

The third proportional to 53,432 and 82,729 is: 128,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432 : 82,729 = 82,729 : x
  2. Step 2: Convert to fraction form
    53,432/82,729 = 82,729/x
  3. Step 3: Cross multiply
    53,432x = 82,729 × 82,729
  4. Step 4: Simplify right side
    53,432x = 6,844,087,441
  5. Step 5: Solve for x
    x = 6,844,087,441/53,432
  6. Step 6: Final answer
    x = 128,089.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.