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Finding the Third Proportional to 61,346 and 134,164

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Solution

The third proportional to 61,346 and 134,164 is: 293,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,346 : 134,164 = 134,164 : x
  2. Step 2: Convert to fraction form
    61,346/134,164 = 134,164/x
  3. Step 3: Cross multiply
    61,346x = 134,164 × 134,164
  4. Step 4: Simplify right side
    61,346x = 17,999,978,896
  5. Step 5: Solve for x
    x = 17,999,978,896/61,346
  6. Step 6: Final answer
    x = 293,417.32

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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.