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Finding the Third Proportional to 99,700 and 153,245

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Solution

The third proportional to 99,700 and 153,245 is: 235,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,700 : 153,245 = 153,245 : x
  2. Step 2: Convert to fraction form
    99,700/153,245 = 153,245/x
  3. Step 3: Cross multiply
    99,700x = 153,245 × 153,245
  4. Step 4: Simplify right side
    99,700x = 23,484,030,025
  5. Step 5: Solve for x
    x = 23,484,030,025/99,700
  6. Step 6: Final answer
    x = 235,546.94

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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.