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Finding the Third Proportional to 67,278 and 141,527

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Solution

The third proportional to 67,278 and 141,527 is: 297,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,278 : 141,527 = 141,527 : x
  2. Step 2: Convert to fraction form
    67,278/141,527 = 141,527/x
  3. Step 3: Cross multiply
    67,278x = 141,527 × 141,527
  4. Step 4: Simplify right side
    67,278x = 20,029,891,729
  5. Step 5: Solve for x
    x = 20,029,891,729/67,278
  6. Step 6: Final answer
    x = 297,718.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.