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Finding the Third Proportional to 54,534 and 112,554

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Solution

The third proportional to 54,534 and 112,554 is: 232,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,534 : 112,554 = 112,554 : x
  2. Step 2: Convert to fraction form
    54,534/112,554 = 112,554/x
  3. Step 3: Cross multiply
    54,534x = 112,554 × 112,554
  4. Step 4: Simplify right side
    54,534x = 12,668,402,916
  5. Step 5: Solve for x
    x = 12,668,402,916/54,534
  6. Step 6: Final answer
    x = 232,302.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.