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Finding the Third Proportional to 85,088 and 134,672

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Solution

The third proportional to 85,088 and 134,672 is: 213,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,088 : 134,672 = 134,672 : x
  2. Step 2: Convert to fraction form
    85,088/134,672 = 134,672/x
  3. Step 3: Cross multiply
    85,088x = 134,672 × 134,672
  4. Step 4: Simplify right side
    85,088x = 18,136,547,584
  5. Step 5: Solve for x
    x = 18,136,547,584/85,088
  6. Step 6: Final answer
    x = 213,150.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.