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Finding the Third Proportional to 67,358 and 146,364

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Solution

The third proportional to 67,358 and 146,364 is: 318,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,358 : 146,364 = 146,364 : x
  2. Step 2: Convert to fraction form
    67,358/146,364 = 146,364/x
  3. Step 3: Cross multiply
    67,358x = 146,364 × 146,364
  4. Step 4: Simplify right side
    67,358x = 21,422,420,496
  5. Step 5: Solve for x
    x = 21,422,420,496/67,358
  6. Step 6: Final answer
    x = 318,038.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.