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Finding the Third Proportional to 53,672 and 85,110

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Solution

The third proportional to 53,672 and 85,110 is: 134,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,672 : 85,110 = 85,110 : x
  2. Step 2: Convert to fraction form
    53,672/85,110 = 85,110/x
  3. Step 3: Cross multiply
    53,672x = 85,110 × 85,110
  4. Step 4: Simplify right side
    53,672x = 7,243,712,100
  5. Step 5: Solve for x
    x = 7,243,712,100/53,672
  6. Step 6: Final answer
    x = 134,962.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.