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Finding the Third Proportional to 91,772 and 141,841

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Solution

The third proportional to 91,772 and 141,841 is: 219,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,772 : 141,841 = 141,841 : x
  2. Step 2: Convert to fraction form
    91,772/141,841 = 141,841/x
  3. Step 3: Cross multiply
    91,772x = 141,841 × 141,841
  4. Step 4: Simplify right side
    91,772x = 20,118,869,281
  5. Step 5: Solve for x
    x = 20,118,869,281/91,772
  6. Step 6: Final answer
    x = 219,226.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.