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Finding the Third Proportional to 69,701 and 148,394

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Solution

The third proportional to 69,701 and 148,394 is: 315,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,701 : 148,394 = 148,394 : x
  2. Step 2: Convert to fraction form
    69,701/148,394 = 148,394/x
  3. Step 3: Cross multiply
    69,701x = 148,394 × 148,394
  4. Step 4: Simplify right side
    69,701x = 22,020,779,236
  5. Step 5: Solve for x
    x = 22,020,779,236/69,701
  6. Step 6: Final answer
    x = 315,932.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.