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Finding the Third Proportional to 64,032 and 101,310

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Solution

The third proportional to 64,032 and 101,310 is: 160,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,032 : 101,310 = 101,310 : x
  2. Step 2: Convert to fraction form
    64,032/101,310 = 101,310/x
  3. Step 3: Cross multiply
    64,032x = 101,310 × 101,310
  4. Step 4: Simplify right side
    64,032x = 10,263,716,100
  5. Step 5: Solve for x
    x = 10,263,716,100/64,032
  6. Step 6: Final answer
    x = 160,290.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.