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Finding the Third Proportional to 61,346 and 136,516

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Solution

The third proportional to 61,346 and 136,516 is: 303,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,346 : 136,516 = 136,516 : x
  2. Step 2: Convert to fraction form
    61,346/136,516 = 136,516/x
  3. Step 3: Cross multiply
    61,346x = 136,516 × 136,516
  4. Step 4: Simplify right side
    61,346x = 18,636,618,256
  5. Step 5: Solve for x
    x = 18,636,618,256/61,346
  6. Step 6: Final answer
    x = 303,795.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.