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Finding the Third Proportional to 55,869.75 and 86,562

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Solution

The third proportional to 55,869.75 and 86,562 is: 134,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,869.75 : 86,562 = 86,562 : x
  2. Step 2: Convert to fraction form
    55,869.75/86,562 = 86,562/x
  3. Step 3: Cross multiply
    55,869.75x = 86,562 × 86,562
  4. Step 4: Simplify right side
    55,869.75x = 7,492,979,844
  5. Step 5: Solve for x
    x = 7,492,979,844/55,869.75
  6. Step 6: Final answer
    x = 134,115.15

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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.