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Finding the Third Proportional to 85,528 and 186,584

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Solution

The third proportional to 85,528 and 186,584 is: 407,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,528 : 186,584 = 186,584 : x
  2. Step 2: Convert to fraction form
    85,528/186,584 = 186,584/x
  3. Step 3: Cross multiply
    85,528x = 186,584 × 186,584
  4. Step 4: Simplify right side
    85,528x = 34,813,589,056
  5. Step 5: Solve for x
    x = 34,813,589,056/85,528
  6. Step 6: Final answer
    x = 407,043.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.