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Finding the Third Proportional to 57,336 and 88,558

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Solution

The third proportional to 57,336 and 88,558 is: 136,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,336 : 88,558 = 88,558 : x
  2. Step 2: Convert to fraction form
    57,336/88,558 = 88,558/x
  3. Step 3: Cross multiply
    57,336x = 88,558 × 88,558
  4. Step 4: Simplify right side
    57,336x = 7,842,519,364
  5. Step 5: Solve for x
    x = 7,842,519,364/57,336
  6. Step 6: Final answer
    x = 136,781.77

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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.