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Finding the Third Proportional to 46,522 and 103,376

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Solution

The third proportional to 46,522 and 103,376 is: 229,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,522 : 103,376 = 103,376 : x
  2. Step 2: Convert to fraction form
    46,522/103,376 = 103,376/x
  3. Step 3: Cross multiply
    46,522x = 103,376 × 103,376
  4. Step 4: Simplify right side
    46,522x = 10,686,597,376
  5. Step 5: Solve for x
    x = 10,686,597,376/46,522
  6. Step 6: Final answer
    x = 229,710.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.