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Finding the Third Proportional to 56,830 and 88,246

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Solution

The third proportional to 56,830 and 88,246 is: 137,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,830 : 88,246 = 88,246 : x
  2. Step 2: Convert to fraction form
    56,830/88,246 = 88,246/x
  3. Step 3: Cross multiply
    56,830x = 88,246 × 88,246
  4. Step 4: Simplify right side
    56,830x = 7,787,356,516
  5. Step 5: Solve for x
    x = 7,787,356,516/56,830
  6. Step 6: Final answer
    x = 137,028.97

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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.