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Finding the Third Proportional to 34,506 and 74,655

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Solution

The third proportional to 34,506 and 74,655 is: 161,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506 : 74,655 = 74,655 : x
  2. Step 2: Convert to fraction form
    34,506/74,655 = 74,655/x
  3. Step 3: Cross multiply
    34,506x = 74,655 × 74,655
  4. Step 4: Simplify right side
    34,506x = 5,573,369,025
  5. Step 5: Solve for x
    x = 5,573,369,025/34,506
  6. Step 6: Final answer
    x = 161,518.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.