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Finding the Third Proportional to 61,121.25 and 97,250.63

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Solution

The third proportional to 61,121.25 and 97,250.63 is: 154,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,121.25 : 97,250.63 = 97,250.63 : x
  2. Step 2: Convert to fraction form
    61,121.25/97,250.63 = 97,250.63/x
  3. Step 3: Cross multiply
    61,121.25x = 97,250.63 × 97,250.63
  4. Step 4: Simplify right side
    61,121.25x = 9,457,684,062.89
  5. Step 5: Solve for x
    x = 9,457,684,062.89/61,121.25
  6. Step 6: Final answer
    x = 154,736.43

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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.