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Finding the Third Proportional to 103,020 and 147,040

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Solution

The third proportional to 103,020 and 147,040 is: 209,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,020 : 147,040 = 147,040 : x
  2. Step 2: Convert to fraction form
    103,020/147,040 = 147,040/x
  3. Step 3: Cross multiply
    103,020x = 147,040 × 147,040
  4. Step 4: Simplify right side
    103,020x = 21,620,761,600
  5. Step 5: Solve for x
    x = 21,620,761,600/103,020
  6. Step 6: Final answer
    x = 209,869.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.