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Finding the Third Proportional to 96,742.13 and 139,345.03

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Solution

The third proportional to 96,742.13 and 139,345.03 is: 200,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,742.13 : 139,345.03 = 139,345.03 : x
  2. Step 2: Convert to fraction form
    96,742.13/139,345.03 = 139,345.03/x
  3. Step 3: Cross multiply
    96,742.13x = 139,345.03 × 139,345.03
  4. Step 4: Simplify right side
    96,742.13x = 19,417,037,734.06
  5. Step 5: Solve for x
    x = 19,417,037,734.06/96,742.13
  6. Step 6: Final answer
    x = 200,709.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.