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Finding the Third Proportional to 57,004 and 124,736

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Solution

The third proportional to 57,004 and 124,736 is: 272,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,004 : 124,736 = 124,736 : x
  2. Step 2: Convert to fraction form
    57,004/124,736 = 124,736/x
  3. Step 3: Cross multiply
    57,004x = 124,736 × 124,736
  4. Step 4: Simplify right side
    57,004x = 15,559,069,696
  5. Step 5: Solve for x
    x = 15,559,069,696/57,004
  6. Step 6: Final answer
    x = 272,946.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.