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Finding the Third Proportional to 74,098 and 97,323

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Solution

The third proportional to 74,098 and 97,323 is: 127,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098 : 97,323 = 97,323 : x
  2. Step 2: Convert to fraction form
    74,098/97,323 = 97,323/x
  3. Step 3: Cross multiply
    74,098x = 97,323 × 97,323
  4. Step 4: Simplify right side
    74,098x = 9,471,766,329
  5. Step 5: Solve for x
    x = 9,471,766,329/74,098
  6. Step 6: Final answer
    x = 127,827.56

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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.