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Finding the Third Proportional to 64,797 and 101,428

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Solution

The third proportional to 64,797 and 101,428 is: 158,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,797 : 101,428 = 101,428 : x
  2. Step 2: Convert to fraction form
    64,797/101,428 = 101,428/x
  3. Step 3: Cross multiply
    64,797x = 101,428 × 101,428
  4. Step 4: Simplify right side
    64,797x = 10,287,639,184
  5. Step 5: Solve for x
    x = 10,287,639,184/64,797
  6. Step 6: Final answer
    x = 158,767.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.