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Finding the Third Proportional to 61,688 and 134,544

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Solution

The third proportional to 61,688 and 134,544 is: 293,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,688 : 134,544 = 134,544 : x
  2. Step 2: Convert to fraction form
    61,688/134,544 = 134,544/x
  3. Step 3: Cross multiply
    61,688x = 134,544 × 134,544
  4. Step 4: Simplify right side
    61,688x = 18,102,087,936
  5. Step 5: Solve for x
    x = 18,102,087,936/61,688
  6. Step 6: Final answer
    x = 293,445.86

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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.