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Finding the Third Proportional to 62,410 and 99,242

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Solution

The third proportional to 62,410 and 99,242 is: 157,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,410 : 99,242 = 99,242 : x
  2. Step 2: Convert to fraction form
    62,410/99,242 = 99,242/x
  3. Step 3: Cross multiply
    62,410x = 99,242 × 99,242
  4. Step 4: Simplify right side
    62,410x = 9,848,974,564
  5. Step 5: Solve for x
    x = 9,848,974,564/62,410
  6. Step 6: Final answer
    x = 157,810.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.