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Finding the Third Proportional to 137,712 and 291,954

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Solution

The third proportional to 137,712 and 291,954 is: 618,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712 : 291,954 = 291,954 : x
  2. Step 2: Convert to fraction form
    137,712/291,954 = 291,954/x
  3. Step 3: Cross multiply
    137,712x = 291,954 × 291,954
  4. Step 4: Simplify right side
    137,712x = 85,237,138,116
  5. Step 5: Solve for x
    x = 85,237,138,116/137,712
  6. Step 6: Final answer
    x = 618,952.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.