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Finding the Third Proportional to 57,312 and 88,524

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Solution

The third proportional to 57,312 and 88,524 is: 136,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,312 : 88,524 = 88,524 : x
  2. Step 2: Convert to fraction form
    57,312/88,524 = 88,524/x
  3. Step 3: Cross multiply
    57,312x = 88,524 × 88,524
  4. Step 4: Simplify right side
    57,312x = 7,836,498,576
  5. Step 5: Solve for x
    x = 7,836,498,576/57,312
  6. Step 6: Final answer
    x = 136,733.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.