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Finding the Third Proportional to 61,302 and 134,088

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Solution

The third proportional to 61,302 and 134,088 is: 293,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,302 : 134,088 = 134,088 : x
  2. Step 2: Convert to fraction form
    61,302/134,088 = 134,088/x
  3. Step 3: Cross multiply
    61,302x = 134,088 × 134,088
  4. Step 4: Simplify right side
    61,302x = 17,979,591,744
  5. Step 5: Solve for x
    x = 17,979,591,744/61,302
  6. Step 6: Final answer
    x = 293,295.35

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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.