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Finding the Third Proportional to 69,368 and 147,376

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Solution

The third proportional to 69,368 and 147,376 is: 313,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,368 : 147,376 = 147,376 : x
  2. Step 2: Convert to fraction form
    69,368/147,376 = 147,376/x
  3. Step 3: Cross multiply
    69,368x = 147,376 × 147,376
  4. Step 4: Simplify right side
    69,368x = 21,719,685,376
  5. Step 5: Solve for x
    x = 21,719,685,376/69,368
  6. Step 6: Final answer
    x = 313,108.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.