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Finding the Third Proportional to 56,596 and 87,558

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Solution

The third proportional to 56,596 and 87,558 is: 135,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,596 : 87,558 = 87,558 : x
  2. Step 2: Convert to fraction form
    56,596/87,558 = 87,558/x
  3. Step 3: Cross multiply
    56,596x = 87,558 × 87,558
  4. Step 4: Simplify right side
    56,596x = 7,666,403,364
  5. Step 5: Solve for x
    x = 7,666,403,364/56,596
  6. Step 6: Final answer
    x = 135,458.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.