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Finding the Third Proportional to 60,784 and 132,207

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Solution

The third proportional to 60,784 and 132,207 is: 287,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,784 : 132,207 = 132,207 : x
  2. Step 2: Convert to fraction form
    60,784/132,207 = 132,207/x
  3. Step 3: Cross multiply
    60,784x = 132,207 × 132,207
  4. Step 4: Simplify right side
    60,784x = 17,478,690,849
  5. Step 5: Solve for x
    x = 17,478,690,849/60,784
  6. Step 6: Final answer
    x = 287,554.14

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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.