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Finding the Third Proportional to 74,096 and 97,320

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Solution

The third proportional to 74,096 and 97,320 is: 127,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096 : 97,320 = 97,320 : x
  2. Step 2: Convert to fraction form
    74,096/97,320 = 97,320/x
  3. Step 3: Cross multiply
    74,096x = 97,320 × 97,320
  4. Step 4: Simplify right side
    74,096x = 9,471,182,400
  5. Step 5: Solve for x
    x = 9,471,182,400/74,096
  6. Step 6: Final answer
    x = 127,823.13

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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.