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Finding the Third Proportional to 64,937 and 141,784

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Solution

The third proportional to 64,937 and 141,784 is: 309,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,937 : 141,784 = 141,784 : x
  2. Step 2: Convert to fraction form
    64,937/141,784 = 141,784/x
  3. Step 3: Cross multiply
    64,937x = 141,784 × 141,784
  4. Step 4: Simplify right side
    64,937x = 20,102,702,656
  5. Step 5: Solve for x
    x = 20,102,702,656/64,937
  6. Step 6: Final answer
    x = 309,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.