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Finding the Third Proportional to 78,651 and 168,424.31

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Solution

The third proportional to 78,651 and 168,424.31 is: 360,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,651 : 168,424.31 = 168,424.31 : x
  2. Step 2: Convert to fraction form
    78,651/168,424.31 = 168,424.31/x
  3. Step 3: Cross multiply
    78,651x = 168,424.31 × 168,424.31
  4. Step 4: Simplify right side
    78,651x = 28,366,749,041.10
  5. Step 5: Solve for x
    x = 28,366,749,041.10/78,651
  6. Step 6: Final answer
    x = 360,666.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.