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Finding the Third Proportional to 72,648 and 97,626.94

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Solution

The third proportional to 72,648 and 97,626.94 is: 131,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,648 : 97,626.94 = 97,626.94 : x
  2. Step 2: Convert to fraction form
    72,648/97,626.94 = 97,626.94/x
  3. Step 3: Cross multiply
    72,648x = 97,626.94 × 97,626.94
  4. Step 4: Simplify right side
    72,648x = 9,531,018,925.63
  5. Step 5: Solve for x
    x = 9,531,018,925.63/72,648
  6. Step 6: Final answer
    x = 131,194.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.