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Finding the Third Proportional to 85,528 and 187,310

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Solution

The third proportional to 85,528 and 187,310 is: 410,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,528 : 187,310 = 187,310 : x
  2. Step 2: Convert to fraction form
    85,528/187,310 = 187,310/x
  3. Step 3: Cross multiply
    85,528x = 187,310 × 187,310
  4. Step 4: Simplify right side
    85,528x = 35,085,036,100
  5. Step 5: Solve for x
    x = 35,085,036,100/85,528
  6. Step 6: Final answer
    x = 410,216.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.