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Finding the Third Proportional to 85,386 and 128,061

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Solution

The third proportional to 85,386 and 128,061 is: 192,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,386 : 128,061 = 128,061 : x
  2. Step 2: Convert to fraction form
    85,386/128,061 = 128,061/x
  3. Step 3: Cross multiply
    85,386x = 128,061 × 128,061
  4. Step 4: Simplify right side
    85,386x = 16,399,619,721
  5. Step 5: Solve for x
    x = 16,399,619,721/85,386
  6. Step 6: Final answer
    x = 192,064.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.