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Finding the Third Proportional to 35,334 and 75,527

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Solution

The third proportional to 35,334 and 75,527 is: 161,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,334 : 75,527 = 75,527 : x
  2. Step 2: Convert to fraction form
    35,334/75,527 = 75,527/x
  3. Step 3: Cross multiply
    35,334x = 75,527 × 75,527
  4. Step 4: Simplify right side
    35,334x = 5,704,327,729
  5. Step 5: Solve for x
    x = 5,704,327,729/35,334
  6. Step 6: Final answer
    x = 161,440.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.