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Finding the Third Proportional to 53,664 and 85,101

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Solution

The third proportional to 53,664 and 85,101 is: 134,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,664 : 85,101 = 85,101 : x
  2. Step 2: Convert to fraction form
    53,664/85,101 = 85,101/x
  3. Step 3: Cross multiply
    53,664x = 85,101 × 85,101
  4. Step 4: Simplify right side
    53,664x = 7,242,180,201
  5. Step 5: Solve for x
    x = 7,242,180,201/53,664
  6. Step 6: Final answer
    x = 134,954.16

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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.