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Finding the Third Proportional to 81,023 and 122,653.50

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Solution

The third proportional to 81,023 and 122,653.50 is: 185,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,023 : 122,653.50 = 122,653.50 : x
  2. Step 2: Convert to fraction form
    81,023/122,653.50 = 122,653.50/x
  3. Step 3: Cross multiply
    81,023x = 122,653.50 × 122,653.50
  4. Step 4: Simplify right side
    81,023x = 15,043,881,062.25
  5. Step 5: Solve for x
    x = 15,043,881,062.25/81,023
  6. Step 6: Final answer
    x = 185,674.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.