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Finding the Third Proportional to 64,708 and 141,527

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Solution

The third proportional to 64,708 and 141,527 is: 309,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,708 : 141,527 = 141,527 : x
  2. Step 2: Convert to fraction form
    64,708/141,527 = 141,527/x
  3. Step 3: Cross multiply
    64,708x = 141,527 × 141,527
  4. Step 4: Simplify right side
    64,708x = 20,029,891,729
  5. Step 5: Solve for x
    x = 20,029,891,729/64,708
  6. Step 6: Final answer
    x = 309,542.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.