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Finding the Third Proportional to 73,023 and 112,758

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Solution

The third proportional to 73,023 and 112,758 is: 174,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,023 : 112,758 = 112,758 : x
  2. Step 2: Convert to fraction form
    73,023/112,758 = 112,758/x
  3. Step 3: Cross multiply
    73,023x = 112,758 × 112,758
  4. Step 4: Simplify right side
    73,023x = 12,714,366,564
  5. Step 5: Solve for x
    x = 12,714,366,564/73,023
  6. Step 6: Final answer
    x = 174,114.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.