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Finding the Third Proportional to 64,742 and 101,730

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Solution

The third proportional to 64,742 and 101,730 is: 159,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742 : 101,730 = 101,730 : x
  2. Step 2: Convert to fraction form
    64,742/101,730 = 101,730/x
  3. Step 3: Cross multiply
    64,742x = 101,730 × 101,730
  4. Step 4: Simplify right side
    64,742x = 10,348,992,900
  5. Step 5: Solve for x
    x = 10,348,992,900/64,742
  6. Step 6: Final answer
    x = 159,849.76

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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.