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Finding the Third Proportional to 53,541 and 99,153

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Solution

The third proportional to 53,541 and 99,153 is: 183,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,541 : 99,153 = 99,153 : x
  2. Step 2: Convert to fraction form
    53,541/99,153 = 99,153/x
  3. Step 3: Cross multiply
    53,541x = 99,153 × 99,153
  4. Step 4: Simplify right side
    53,541x = 9,831,317,409
  5. Step 5: Solve for x
    x = 9,831,317,409/53,541
  6. Step 6: Final answer
    x = 183,622.22

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.