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Finding the Third Proportional to 34,522 and 71,246

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Solution

The third proportional to 34,522 and 71,246 is: 147,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,522 : 71,246 = 71,246 : x
  2. Step 2: Convert to fraction form
    34,522/71,246 = 71,246/x
  3. Step 3: Cross multiply
    34,522x = 71,246 × 71,246
  4. Step 4: Simplify right side
    34,522x = 5,075,992,516
  5. Step 5: Solve for x
    x = 5,075,992,516/34,522
  6. Step 6: Final answer
    x = 147,036.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.