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Finding the Third Proportional to 57,354 and 84,342

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Solution

The third proportional to 57,354 and 84,342 is: 124,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354 : 84,342 = 84,342 : x
  2. Step 2: Convert to fraction form
    57,354/84,342 = 84,342/x
  3. Step 3: Cross multiply
    57,354x = 84,342 × 84,342
  4. Step 4: Simplify right side
    57,354x = 7,113,572,964
  5. Step 5: Solve for x
    x = 7,113,572,964/57,354
  6. Step 6: Final answer
    x = 124,029.24

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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.