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Finding the Third Proportional to 74,429.50 and 97,343

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Solution

The third proportional to 74,429.50 and 97,343 is: 127,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,429.50 : 97,343 = 97,343 : x
  2. Step 2: Convert to fraction form
    74,429.50/97,343 = 97,343/x
  3. Step 3: Cross multiply
    74,429.50x = 97,343 × 97,343
  4. Step 4: Simplify right side
    74,429.50x = 9,475,659,649
  5. Step 5: Solve for x
    x = 9,475,659,649/74,429.50
  6. Step 6: Final answer
    x = 127,310.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.