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Finding the Third Proportional to 61,654 and 114,560

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Solution

The third proportional to 61,654 and 114,560 is: 212,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,654 : 114,560 = 114,560 : x
  2. Step 2: Convert to fraction form
    61,654/114,560 = 114,560/x
  3. Step 3: Cross multiply
    61,654x = 114,560 × 114,560
  4. Step 4: Simplify right side
    61,654x = 13,123,993,600
  5. Step 5: Solve for x
    x = 13,123,993,600/61,654
  6. Step 6: Final answer
    x = 212,865.24

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.