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Finding the Third Proportional to 73,176.93 and 109,765.40

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Solution

The third proportional to 73,176.93 and 109,765.40 is: 164,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.93 : 109,765.40 = 109,765.40 : x
  2. Step 2: Convert to fraction form
    73,176.93/109,765.40 = 109,765.40/x
  3. Step 3: Cross multiply
    73,176.93x = 109,765.40 × 109,765.40
  4. Step 4: Simplify right side
    73,176.93x = 12,048,443,444.49
  5. Step 5: Solve for x
    x = 12,048,443,444.49/73,176.93
  6. Step 6: Final answer
    x = 164,648.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.