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Finding the Third Proportional to 57,583 and 84,726

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Solution

The third proportional to 57,583 and 84,726 is: 124,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583 : 84,726 = 84,726 : x
  2. Step 2: Convert to fraction form
    57,583/84,726 = 84,726/x
  3. Step 3: Cross multiply
    57,583x = 84,726 × 84,726
  4. Step 4: Simplify right side
    57,583x = 7,178,495,076
  5. Step 5: Solve for x
    x = 7,178,495,076/57,583
  6. Step 6: Final answer
    x = 124,663.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.