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Finding the Third Proportional to 64,106 and 140,275

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Solution

The third proportional to 64,106 and 140,275 is: 306,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106 : 140,275 = 140,275 : x
  2. Step 2: Convert to fraction form
    64,106/140,275 = 140,275/x
  3. Step 3: Cross multiply
    64,106x = 140,275 × 140,275
  4. Step 4: Simplify right side
    64,106x = 19,677,075,625
  5. Step 5: Solve for x
    x = 19,677,075,625/64,106
  6. Step 6: Final answer
    x = 306,945.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.