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Finding the Third Proportional to 97,473 and 122,015

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Solution

The third proportional to 97,473 and 122,015 is: 152,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473 : 122,015 = 122,015 : x
  2. Step 2: Convert to fraction form
    97,473/122,015 = 122,015/x
  3. Step 3: Cross multiply
    97,473x = 122,015 × 122,015
  4. Step 4: Simplify right side
    97,473x = 14,887,660,225
  5. Step 5: Solve for x
    x = 14,887,660,225/97,473
  6. Step 6: Final answer
    x = 152,736.25

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.