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Finding the Third Proportional to 96,768 and 139,341.75

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Solution

The third proportional to 96,768 and 139,341.75 is: 200,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 139,341.75 = 139,341.75 : x
  2. Step 2: Convert to fraction form
    96,768/139,341.75 = 139,341.75/x
  3. Step 3: Cross multiply
    96,768x = 139,341.75 × 139,341.75
  4. Step 4: Simplify right side
    96,768x = 19,416,123,293.06
  5. Step 5: Solve for x
    x = 19,416,123,293.06/96,768
  6. Step 6: Final answer
    x = 200,646.12

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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.