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Finding the Third Proportional to 65,254 and 93,337

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Solution

The third proportional to 65,254 and 93,337 is: 133,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254 : 93,337 = 93,337 : x
  2. Step 2: Convert to fraction form
    65,254/93,337 = 93,337/x
  3. Step 3: Cross multiply
    65,254x = 93,337 × 93,337
  4. Step 4: Simplify right side
    65,254x = 8,711,795,569
  5. Step 5: Solve for x
    x = 8,711,795,569/65,254
  6. Step 6: Final answer
    x = 133,505.92

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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.