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Finding the Third Proportional to 138,030 and 202,671

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Solution

The third proportional to 138,030 and 202,671 is: 297,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,030 : 202,671 = 202,671 : x
  2. Step 2: Convert to fraction form
    138,030/202,671 = 202,671/x
  3. Step 3: Cross multiply
    138,030x = 202,671 × 202,671
  4. Step 4: Simplify right side
    138,030x = 41,075,534,241
  5. Step 5: Solve for x
    x = 41,075,534,241/138,030
  6. Step 6: Final answer
    x = 297,584.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.