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Finding the Third Proportional to 99,697 and 153,241

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Solution

The third proportional to 99,697 and 153,241 is: 235,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,697 : 153,241 = 153,241 : x
  2. Step 2: Convert to fraction form
    99,697/153,241 = 153,241/x
  3. Step 3: Cross multiply
    99,697x = 153,241 × 153,241
  4. Step 4: Simplify right side
    99,697x = 23,482,804,081
  5. Step 5: Solve for x
    x = 23,482,804,081/99,697
  6. Step 6: Final answer
    x = 235,541.73

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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.