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Finding the Third Proportional to 65,250 and 93,331

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Solution

The third proportional to 65,250 and 93,331 is: 133,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,250 : 93,331 = 93,331 : x
  2. Step 2: Convert to fraction form
    65,250/93,331 = 93,331/x
  3. Step 3: Cross multiply
    65,250x = 93,331 × 93,331
  4. Step 4: Simplify right side
    65,250x = 8,710,675,561
  5. Step 5: Solve for x
    x = 8,710,675,561/65,250
  6. Step 6: Final answer
    x = 133,496.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.