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Finding the Third Proportional to 67,507 and 147,731

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Solution

The third proportional to 67,507 and 147,731 is: 323,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,507 : 147,731 = 147,731 : x
  2. Step 2: Convert to fraction form
    67,507/147,731 = 147,731/x
  3. Step 3: Cross multiply
    67,507x = 147,731 × 147,731
  4. Step 4: Simplify right side
    67,507x = 21,824,448,361
  5. Step 5: Solve for x
    x = 21,824,448,361/67,507
  6. Step 6: Final answer
    x = 323,291.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.