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Finding the Third Proportional to 61,167 and 97,317

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Solution

The third proportional to 61,167 and 97,317 is: 154,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,167 : 97,317 = 97,317 : x
  2. Step 2: Convert to fraction form
    61,167/97,317 = 97,317/x
  3. Step 3: Cross multiply
    61,167x = 97,317 × 97,317
  4. Step 4: Simplify right side
    61,167x = 9,470,598,489
  5. Step 5: Solve for x
    x = 9,470,598,489/61,167
  6. Step 6: Final answer
    x = 154,831.83

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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.