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Finding the Third Proportional to 107,210 and 148,143

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Solution

The third proportional to 107,210 and 148,143 is: 204,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,210 : 148,143 = 148,143 : x
  2. Step 2: Convert to fraction form
    107,210/148,143 = 148,143/x
  3. Step 3: Cross multiply
    107,210x = 148,143 × 148,143
  4. Step 4: Simplify right side
    107,210x = 21,946,348,449
  5. Step 5: Solve for x
    x = 21,946,348,449/107,210
  6. Step 6: Final answer
    x = 204,704.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.