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Finding the Third Proportional to 56,868 and 90,854

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Solution

The third proportional to 56,868 and 90,854 is: 145,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,868 : 90,854 = 90,854 : x
  2. Step 2: Convert to fraction form
    56,868/90,854 = 90,854/x
  3. Step 3: Cross multiply
    56,868x = 90,854 × 90,854
  4. Step 4: Simplify right side
    56,868x = 8,254,449,316
  5. Step 5: Solve for x
    x = 8,254,449,316/56,868
  6. Step 6: Final answer
    x = 145,151.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.