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Finding the Third Proportional to 64,093 and 97,095.50

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Solution

The third proportional to 64,093 and 97,095.50 is: 147,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,093 : 97,095.50 = 97,095.50 : x
  2. Step 2: Convert to fraction form
    64,093/97,095.50 = 97,095.50/x
  3. Step 3: Cross multiply
    64,093x = 97,095.50 × 97,095.50
  4. Step 4: Simplify right side
    64,093x = 9,427,536,120.25
  5. Step 5: Solve for x
    x = 9,427,536,120.25/64,093
  6. Step 6: Final answer
    x = 147,091.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.