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Finding the Third Proportional to 91,764 and 170,177.75

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Solution

The third proportional to 91,764 and 170,177.75 is: 315,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,764 : 170,177.75 = 170,177.75 : x
  2. Step 2: Convert to fraction form
    91,764/170,177.75 = 170,177.75/x
  3. Step 3: Cross multiply
    91,764x = 170,177.75 × 170,177.75
  4. Step 4: Simplify right side
    91,764x = 28,960,466,595.06
  5. Step 5: Solve for x
    x = 28,960,466,595.06/91,764
  6. Step 6: Final answer
    x = 315,597.26

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.