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Finding the Third Proportional to 60,690 and 133,043

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Solution

The third proportional to 60,690 and 133,043 is: 291,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,690 : 133,043 = 133,043 : x
  2. Step 2: Convert to fraction form
    60,690/133,043 = 133,043/x
  3. Step 3: Cross multiply
    60,690x = 133,043 × 133,043
  4. Step 4: Simplify right side
    60,690x = 17,700,439,849
  5. Step 5: Solve for x
    x = 17,700,439,849/60,690
  6. Step 6: Final answer
    x = 291,653.32

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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.