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Finding the Third Proportional to 104,035 and 152,347

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Solution

The third proportional to 104,035 and 152,347 is: 223,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,035 : 152,347 = 152,347 : x
  2. Step 2: Convert to fraction form
    104,035/152,347 = 152,347/x
  3. Step 3: Cross multiply
    104,035x = 152,347 × 152,347
  4. Step 4: Simplify right side
    104,035x = 23,209,608,409
  5. Step 5: Solve for x
    x = 23,209,608,409/104,035
  6. Step 6: Final answer
    x = 223,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.