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Finding the Third Proportional to 85,416 and 124,704

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Solution

The third proportional to 85,416 and 124,704 is: 182,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416 : 124,704 = 124,704 : x
  2. Step 2: Convert to fraction form
    85,416/124,704 = 124,704/x
  3. Step 3: Cross multiply
    85,416x = 124,704 × 124,704
  4. Step 4: Simplify right side
    85,416x = 15,551,087,616
  5. Step 5: Solve for x
    x = 15,551,087,616/85,416
  6. Step 6: Final answer
    x = 182,062.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.